Problem 1AYU: In a right triangle, with legs a and b and hypotenuse c , the Pythagorean Theorem states that... Problem 2AYU: The value of the function f( x )=3x7 at 5 is _______. (pp. 60-62) Problem 3AYU: True or False For a function y=f( x ) , for each x in the domain, there is exactly one element y in... Problem 4AYU: If two triangles are similar, then corresponding angles are and the lengths of corresponding sides... Problem 5AYU: What point is symmetric with respect to the y-axis to the point ( 1 2 , 3 2 ) ? (pp. 19-21) Problem 6AYU Problem 7AYU: Which function takes as input a real number t that corresponds to a point P=( x,y ) on the unit... Problem 8AYU: The point on the unit circle that corresponds to = 2 is P= ______. Problem 9AYU: The point on the unit circle that corresponds to = 4 is P= _______. Problem 12AYU: The point on the unit circle that corresponds to = 3 is (a) ( 1 2 , 3 2 ) (b) ( 2 2 , 2 2 ) (c) ( 3... Problem 11AYU: For any angle in standard position, let P=( x,y ) be the point on the terminal side of that is... Problem 10AYU: True or False Exact values can be found for the sine of any angle. Problem 13AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 14AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 15AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 16AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 17AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 18AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 19AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 20AYU: In Problems 13-20, P=( x,y ) is the point on the unit circle that corresponds to a real number t .... Problem 21AYU: In Problems 21-30, find the exact value. Do not use a calculator. sin 11 2 Problem 22AYU: In Problems 21-30, find the exact value. Do not use a calculator. cos( 7 ) Problem 23AYU: In Problems 21-30, find the exact value. Do not use a calculator. tan( 6 ) Problem 24AYU: In Problems 21-30, find the exact value. Do not use a calculator. cot 7 2 Problem 25AYU: In Problems 21-30, find the exact value. Do not use a calculator. csc 11 2 Problem 26AYU: In Problems 21-30, find the exact value. Do not use a calculator. sec( 8 ) Problem 27AYU: In Problems 21-30, find the exact value. Do not use a calculator. cos( 3 2 ) Problem 28AYU: In Problems 21-30, find the exact value. Do not use a calculator. sin( 3 ) Problem 29AYU: In Problems 21-30, find the exact value. Do not use a calculator. sec( ) Problem 30AYU: In Problems 21-30, find the exact value. Do not use a calculator. tan( 3 ) Problem 31AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 45 +cos 60 Problem 32AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 30 cos 45 Problem 33AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 90 +tan 45 Problem 34AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. cos 180 sin... Problem 35AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. sin 45 cos 45 Problem 36AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. tan 45 cos 30 Problem 37AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. csc 45 tan 60 Problem 38AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. sec 30 cot 45 Problem 39AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 4sin 90 3tan... Problem 40AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 5cos 90 8sin... Problem 41AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sin 3 3tan 6 Problem 42AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sin 4 +3tan ... Problem 43AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 2sec 4 +4cot ... Problem 44AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. 3csc 3 +cot 4 Problem 45AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. csc 2 +cot 2 Problem 46AYU: In Problems 31-46, find the exact value of each expression. Do not use a calculator. seccsc 2 Problem 47AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 48AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 49AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 50AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 51AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 52AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 53AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 54AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 55AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 56AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 57AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 58AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 59AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 60AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 61AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 62AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 63AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 64AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 65AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 66AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 67AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 68AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 69AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 70AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 71AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 72AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 73AYU: In Problems 47-64, find the exact values of the six trigonometric functions of the given angle. If... Problem 74AYU: In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two... Problem 75AYU: In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two... Problem 76AYU: In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two... Problem 77AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 78AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 79AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 80AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 81AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 82AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 83AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 84AYU: In Problems 77-84, a point on the terminal side of an angle in standard position is given. Find the... Problem 85AYU: Find the exact value of: sin45+sin135+sin225+sin315 Problem 86AYU: Find the exact value of: tan 60 +tan 150 Problem 87AYU: Find the exact value of: sin 40 +sin 130 +sin 220 +sin 310 Problem 88AYU: Find the exact value of: tan 40 +tan 140 Problem 89AYU: If f( )=sin=0.1 , find f( + ) . Problem 90AYU: If f( )=cos=0.3 , find f( + ) . Problem 91AYU: If f( )=tan=3 , find f( + ) . Problem 92AYU: If f( )=cot=2 , find f( + ) . Problem 93AYU: If sin= 1 5 , find csc . Problem 94AYU: If cos= 2 3 , find sec . Problem 95AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 96AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 97AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 98AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 99AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 100AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 101AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 102AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 103AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 104AYU: In Problems 95-106, f( )=sin and g( )=cos . Find the exact value of each function below if =60 .... Problem 105AYU Problem 106AYU Problem 107AYU: In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of... Problem 108AYU Problem 109AYU: In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of... Problem 110AYU Problem 111AYU: In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of... Problem 112AYU Problem 113AYU Problem 114AYU Problem 115AYU: In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of... Problem 116AYU: In Problems 107-116, f( x )=sinx , g( x )=cosx , h( x )=2x , and p( x )= x 2 . Find the value of... Problem 117AYU: Find two negative and three positive angles, expressed in radians, for which the point on the unit... Problem 118AYU: Find two negative and three positive angles, expressed in radians, for which the point on the unit... Problem 119AYU Problem 120AYU: Use a calculator in radian mode to complete the following table. What can you conclude about the... Problem 121AYU Problem 122AYU: For Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired... Problem 123AYU: For Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired... Problem 124AYU: For Problems 121-124, use the following discussion. Projectile Motion The path of a projectile fired... Problem 125AYU: Inclined Plane See the figure. If friction is ignored, the time t (in seconds) required for a inline... Problem 126AYU: Piston Engines In a certain piston engine, the distance x (in centimeters) from the center of the... Problem 127AYU: Calculating the Time of a Trip Two oceanfront homes are located 8 miles apart on a straight stretch... Problem 128AYU: Designing Fine Decorative Pieces A designer of decorative art plans to market solid gold spheres... Problem 129AYU: Use the following to answer Problems 129-132. The viewing angle, , of an object is the angle the... Problem 130AYU: Use the following to answer Problems 129-132. The viewing angle, , of an object is the angle the... Problem 131AYU: Use the following to answer Problems 129-132. The viewing angle, , of an object is the angle the... Problem 132AYU: Use the following to answer Problems 129-132. The viewing angle, , of an object is the angle the... Problem 133AYU: Projectile Distance An object is fired at an angle to the horizontal with an initial speed of 0... Problem 134AYU Problem 139AYU: Let be the measure of an angle, in radians, in standard position with 3 2 . Find the exact... Problem 140AYU: Let be the measure of an angle, in radians, in standard position with 2 . Find the exact... Problem 135AYU: Projectile Motion An object is propelled upward at an angle , 4590 , to the horizontal with an... Problem 136AYU: If , 0 is the angle between the positive x-axis and a nonhorizontal, nonvertical line L , show that... Problem 137AYU: In Problems 137 and 138, use the figure to approximate the value of the six trigonometric functions... Problem 138AYU: In Problems 137 and 138, use the figure to approximate the value of the six trigonometric functions... Problem 141AYU Problem 142AYU Problem 143AYU Problem 144AYU: How would you explain the meaning of the sine function to a fellow student who has just completed... Problem 145AYU: Draw a unit circle. Label the angels 0, 6 , 4 , 3 , . . . , 7 4 , 11 6 , 2 and the coordinates of... Problem 146AYU: Problems 143-146 are based on material learned earlier in the course. The purpose of these problems... Problem 147AYU: Problems 143-146 are based on material learned earlier in the course. The purpose of these problems... Problem 148AYU: Problems 143-146 are based on material learned earlier in the course. The purpose of these problems... Problem 149AYU Problem 150AYU: Problems 146155 are based on material learned earlier in the course. The purpose of these problems... Problem 151AYU: Problems are based on material learned earlier in the course. The purpose of these problems is to... Problem 152AYU: Problems are based on material learned earlier in the course. The purpose of these problems is to... Problem 153AYU: Problems 146155 are based on material learned earlier in the course. The purpose of these problems... Problem 154AYU: Problems 146155 are based on material learned earlier in the course. The purpose of these problems... Problem 155AYU: Problems are based on material learned earlier in the course. The purpose of these problems is to... format_list_bulleted