Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Precalculus
In Problems 35—46, convert each angle in radians to degrees. 3In Problems 35—46, convert each angle in radians to degrees. 5 6In Problems 3546, convert each angle in radianstodegrees. 136In Problems 35—46, convert each angle in radians to degrees. 2 3In Problems, convert each angle in radians to degrees.
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In Problems 35—46, convert each angle in radians to degrees. 4In Problems 3546, convert each angle in radianstodegrees. 320In Problems 35—46, convert each angle in radians to degrees. 5 12In Problems 35—46, convert each angle in radians to degrees. 2In Problems 35—46, convert each angle in radians to degrees.In Problems, convert each angle in radians to degrees.
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In Problems 35—46, convert each angle in radians to degrees. 3 4In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 17In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 73In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 40In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 51In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 125In Problems 47-52, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 350In Problems 53-58, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 3.14In Problems 53-58, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 0.75In Problems 5358, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 7In Problems 53-58, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 3In Problems 5358, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 9.2858AYUIn Problems 59-64, convert each angle to a decimal in degrees. Round your answer to two decimal places. 40 1025In Problems 59-64, convert each angle to a decimal in degrees. Round your answer to two decimal places. 61 422161AYU62AYUIn Problems 59-64, convert each angle to a decimal in degrees. Round your answer to two decimal places. 9 9964AYUIn Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 40.32In Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 61.24In Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 18.255In Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 29.411In Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 19.99In Problems 65-70, convert each angle to DMS form. Round your answer to the nearest second. 44.01In Problems 71-78, s denotes the length of the are of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=10meters , = 1 2 radian , s= ?In Problems 71-78, s denotes the length of the are of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=6feet , =2radians , s= ?In Problems 7178, s denotes the length of the arc of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. =23radian,s=8feet,r=?74AYUIn Problems 7178, s denotes the length of the arc of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=10miles,s=8miles,=?In Problems 71-78, s denotes the length of the are of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=6meters , s=8meters , = ?In Problems 71-78, s denotes the length of the are of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=2inches , =30 , s= ?In Problems 71-78, s denotes the length of the are of a circle of radius r subtended by the central angle . Find the missing quantity. Round answers to three decimal places. r=3meters , =120 , s= ?In Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. r=10meters , = 1 2 radian , A= ?In Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. r=6feet , =2radians , A= ?In Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. = 1 3 radian , A=2squarefeet , r= ?In Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. = 1 4 radian , A=6squarecentimeters , r= ?In Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. r=5miles , A=3squaremiles , = ?84AYUIn Problems 79-86, A denotes the area of the sector of a circle of radius r formed by the central angle . Find the missing quantity. Round answers to three decimal places. r=2inches , =30 , A= ?86AYU87AYU88AYU89AYU90AYUMovement of a Minute Hand The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes? Round answers to two decimal places.Movement of a Pendulum A pendulum swings through an angle of 20 each second. If the pendulum is 40 inches long, how far does its tip move each second? Round answers to two decimal places.Area of a Sector Find the area of the sector of a circle of radius 4 meters formed by an angle of 45 . Round the answer to two decimal places.Area of a Sector Find the area of the sector of a circle of radius 3 centimeters formed by an angle of 60 . Round the answer to two decimal places.Watering a Lawn A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135 . What area of lawn receives water?Designing a Water Sprinkler An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is in the shape of a sector of a circle of radius 15 yards. Through what angle should the sprinkler rotate?97AYU98AYU99AYU101AYU102AYU103AYU104AYU105AYU106AYU107AYU108AYU109AYU110AYU111AYU112AYU113AYU100AYU115AYU116AYU117AYU118AYU123AYU124AYU119AYU120AYU121AYU122AYU114AYU125AYUIn a right triangle, with legs a and b and hypotenuse c , the Pythagorean Theorem states that _______. (p. A14)The value of the function f( x )=3x7 at 5 is _______. (pp. 60-62)True or False For a function y=f( x ) , for each x in the domain, there is exactly one element y in the range. (pp. 57-60)If two triangles are similar, then corresponding angles are and the lengths of corresponding sides are ___________. (pp. A16-A18)What point is symmetric with respect to the y-axis to the point ( 1 2 , 3 2 ) ? (pp. 19-21)6AYUWhich function takes as input a real number t that corresponds to a point P=( x,y ) on the unit circle and outputs the x-coordinate ? (a) sine (b) cosine (c) tangent (d) secantThe point on the unit circle that corresponds to = 2 is P= ______.The point on the unit circle that corresponds to = 4 is P= _______.12AYU11AYUTrue or False Exact values can be found for the sine of any angle.In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 3 2 , 1 2 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 1 2 , 3 2 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 2 5 , 21 5 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 1 5 , 2 6 5 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 2 2 , 2 2 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 2 2 , 2 2 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 2 2 3 , 1 3 )In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t . Find the exact values of the six trigonometric functions of t . ( 5 3 , 2 3 )In Problems 21-30, find the exact value. Do not use a calculator. sin 11 2In Problems 21-30, find the exact value. Do not use a calculator. cos( 7 )In Problems 21-30, find the exact value. Do not use a calculator. tan( 6 )In Problems 21-30, find the exact value. Do not use a calculator. cot 7 2In Problems 21-30, find the exact value. Do not use a calculator. csc 11 2In Problems 21-30, find the exact value. Do not use a calculator. sec( 8 )In Problems 21-30, find the exact value. Do not use a calculator. cos( 3 2 )In Problems 21-30, find the exact value. Do not use a calculator. sin( 3 )In Problems 21-30, find the exact value. Do not use a calculator. sec( )In Problems 21-30, find the exact value. Do not use a calculator. tan( 3 )In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 45 +cos 60In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 30 cos 45In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 90 +tan 45In Problems 31-46, find the exact value of each expression. Do not use a calculator. cos 180 sin 180In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 45 cos 45In Problems 31-46, find the exact value of each expression. Do not use a calculator. tan 45 cos 30In Problems 31-46, find the exact value of each expression. Do not use a calculator. csc 45 tan 60In Problems 31-46, find the exact value of each expression. Do not use a calculator. sec 30 cot 45In Problems 31-46, find the exact value of each expression. Do not use a calculator. 4sin 90 3tan 180In Problems 31-46, find the exact value of each expression. Do not use a calculator. 5cos 90 8sin 270In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sin 3 3tan 6In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sin 4 +3tan 4In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sec 4 +4cot 3In Problems 31-46, find the exact value of each expression. Do not use a calculator. 3csc 3 +cot 4In Problems 31-46, find the exact value of each expression. Do not use a calculator. csc 2 +cot 2In Problems 31-46, find the exact value of each expression. Do not use a calculator. seccsc 2In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 2 3In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 5 6In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 210In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 240In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 3 4In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 11 4In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 8 3In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 13 6In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 405In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 390In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 6In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 3In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 240In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 240In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 5 2In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 5In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 14 3In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. 13 6In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. sin 28In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. cos 14In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. sec 21In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. cot 70In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. tan 10In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. sin 8In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. cot 12In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. csc 5 13In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say not defined. Do not use a calculator. sin1In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two decimal places. tan1In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two decimal places. sin 1In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two decimal places. tan 1In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 3,4 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 5,12 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 2,3 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 1,2 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 2,2 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 1,1 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 1 3 , 1 4 )In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the exact value of each of the six trigonometric functions of . ( 0.3,0.4 )Find the exact value of: sin45+sin135+sin225+sin315Find the exact value of: tan 60 +tan 150Find the exact value of: sin 40 +sin 130 +sin 220 +sin 310Find the exact value of: tan 40 +tan 140If f( )=sin=0.1 , find f( + ) .If f( )=cos=0.3 , find f( + ) .If f( )=tan=3 , find f( + ) .If f( )=cot=2 , find f( + ) .If sin= 1 5 , find csc .If cos= 2 3 , find sec .In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. f( )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. g( )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. f( 2 )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. g( 2 )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. [ f( ) ] 2In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. [ g( ) ] 2In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. f( 2 )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. g( 2 )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. 2f( )In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 . Do not use a calculator. 2g( )105AYU106AYUIn Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of each of the following: ( f+g )( 30 )108AYUIn Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of each of the following: ( fg )( 3 4 )110AYUIn Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of each of the following: ( fh )( 6 )112AYU113AYU114AYUIn Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of each of the following: a. Find f( 4 ) . What point is on the graph of f ? b. Assuming f is one-to-one*, use the result of part (a) to find a point on the graph of f 1 . c. What point is on the graph of y=f( x+ 4 )3 if x= 4 ?In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of each of the following: a. Find g( 6 ) . What point is on the graph of g ? b. Assuming g is one-to-one*, use the result of part (a) to find a point on the graph of g 1 . c. What point is on the graph of y=2g( x 6 ) if x= 6 ?Find two negative and three positive angles, expressed in radians, for which the point on the unit circle that corresponds to each angle is ( 1 2 , 3 2 ) .Find two negative and three positive angles, expressed in radians, for which the point on the unit circle that corresponds to each angle is ( 2 2 , 2 2 ) .119AYUUse a calculator in radian mode to complete the following table. What can you conclude about the value of g( )= cos1 as approaches 0?121AYUFor Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired at an inclination to the horizontal with initial speed v 0 is a parabola (see the figure). The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the function R( )= v 0 2 sin( 2 ) g where g32.2 feet per second per second 9.8 meters per second per second is the acceleration due to gravity. The maximum height H of the projectile is given by the function H( )= v 0 2 ( sin ) 2g 2 In Problems 121-124, find the range R and maximum height H . (See the discussion on the previous page.) The projectile is fired at an angle of 30 to the horizontal with an initial speed of 150 meters per second.For Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired at an inclination to the horizontal with initial speed v 0 is a parabola (see the figure). The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the function R( )= v 0 2 sin( 2 ) g where g32.2 feet per second per second 9.8 meters per second per second is the acceleration due to gravity. The maximum height H of the projectile is given by the function H( )= v 0 2 ( sin ) 2g 2 In Problems 121-124, find the range R and maximum height H . (See the discussion on the previous page.) The projectile is fired at an angle of 25 to the horizontal with an initial speed of 500 meters per second.For Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired at an inclination to the horizontal with initial speed v 0 is a parabola (see the figure). The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the function R( )= v 0 2 sin( 2 ) g where g32.2 feet per second per second 9.8 meters per second per second is the acceleration due to gravity. The maximum height H of the projectile is given by the function H( )= v 0 2 ( sin ) 2g 2 In Problems 121-124, find the range R and maximum height H . (See the discussion on the previous page.) The projectile is fired at an angle of 50 to the horizontal with an initial speed of 200 feet per second.125AYU126AYU127AYU128AYU129AYU130AYU131AYU132AYU133AYU134AYU135AYUThe domain of the function f(x)= x+1 2x+1 is _____ . (pp.64-66)A function for which f(x)=f(x) for all x in the domain of f is called a(n) _____ function. (pp. 81-83)True or False The function f(x)= x is even. (pp.81-83)True or False The equation x 2 +2x= (x+1) 2 1 is an identity. (p.A43)The sine, cosine, cosecant, and secant functions have period _____ ; the tangent and cotangent functions have period _____ .The domain of the tangent function is _____ .Which of the following is not in the range of the sine function? a. 4 b. 3 2 c. 0.37 d. 1Which of the following functions is even? a. cosine b. sine c. tangent d. cosecantsin 2 + cos 2 = _____ .True or False sec= 1 sinln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sin 405ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cos 420ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. tan 405ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sin 390ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. csc 450ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sec 540ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cot 390ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sec 420ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cos 33 4ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sin 9 4ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. tan( 21 )ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. csc 9 2ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sec 17 4ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cot 17 4ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. tan 19 6ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. sec 25 6In Problems 27—34, name the quadrant in which the angle lies. sin0 , cos0In Problems 27—34, name the quadrant in which the angle lies. sin0 , cos0In Problems 27—34, name the quadrant in which the angle lies. sin0 , tan0In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0In Problems 27—34, name the quadrant in which the angle lies. sec0 , sin034AYUIn problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 3 5 , cos= 4 5In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 4 5 , cos= 3 5In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 2 5 5 , cos= 5 5In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 5 5 , cos= 2 5 5In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 1 2 , cos= 3 2In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 3 2 , cos= 1 2In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 1 3 , cos= 2 2 3In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 2 2 3 , cos= 1 3In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 12 13 , in quadrant IIIn Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 3 5 , in quadrant IVIn Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 4 5 , in quadrant IIIIn Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 5 13 , in quadrant IIIIn Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 5 13 , 90 180In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 4 5 , 270 360In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 1 3 , 2In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 2 3 , 3 2In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 2 3 , tan0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 1 4 , tan0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2 , sin0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . csc=3 , cot0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan= 3 4 , sin0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cot= 4 3 , cos0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan= 1 3 , sin0In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2 , tan0In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( 60 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. cos( 30 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. tan( 30 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( 135 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sec( 60 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. csc( 30 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( 90 )66AYUIn Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. tan( 4 )68AYU69AYUIn Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( 3 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. tan( )72AYUIn Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. csc( 4 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sec( )