Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Precalculus Enhanced with Graphing Utilities

123AYU 124AYU 125AYU 1AYU 2AYU 3AYU 4AYU 5AYU 6AYU 7AYU 8AYU 9AYU 10AYU 11AYU 12AYU 13AYU 14AYU 15AYU 16AYU 17AYU 18AYU 19AYU 20AYU 21AYU 22AYU 23AYU 24AYU 25AYU 26AYU 27AYU 28AYU 29AYU 30AYU 31AYU 32AYU 33AYU 34AYU 35AYU 36AYU 37AYU 38AYU 39AYU 40AYU 41AYU 42AYU 43AYU 44AYU 45AYU 46AYU 47AYU 48AYU 49AYU 50AYU 51AYU 52AYU 53AYU 54AYU 55AYU 56AYU 57AYU 58AYU 59AYU 60AYU 61AYU 62AYU 63AYU 64AYU 65AYU 66AYU 67AYU 68AYU 69AYU 70AYU 71AYU 72AYU 73AYU 74AYU 75AYU 76AYU 77AYU 78AYU 79AYU 80AYU 81AYU 82AYU 83AYU 84AYU 85AYU 86AYU 87AYU 88AYU 89AYU 90AYU 91AYU 92AYU 93AYU 94AYU 95AYU 96AYU 97AYU 98AYU 99AYU 100AYU 101AYU 102AYU 103AYU 104AYU 105AYU 106AYU 107AYU 108AYU 109AYU 110AYU 111AYU 112AYU 113AYU 114AYU 115AYU 116AYU 117AYU 118AYU 119AYU 120AYU 121AYU 122AYU 123AYU 124AYU 125AYU 126AYU 127AYU 128AYU 129AYU 130AYU 131AYU 132AYU 133AYU 134AYU 135AYU The 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. 1 Which of the following functions is even? a. cosine b. sine c. tangent d. cosecant sin 2 + cos 2 = _____ .True or False sec= 1 sin 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. sin 405 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. cos 420 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. tan 405 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. sin 390 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 450 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. sec 540 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. cot 390 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. sec 420 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. cos 33 4 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. sin 9 4 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. 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 2 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. sec 17 4 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. cot 17 4 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. tan 19 6 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. sec 25 6 In Problems 27â€”34, name the quadrant in which the angle lies. sin0 , cos0 In Problems 27â€”34, name the quadrant in which the angle lies. sin0 , cos0 In Problems 27â€”34, name the quadrant in which the angle lies. sin0 , tan0 In Problems 27â€”34, name the quadrant in which the angle lies. cos0 , tan0 In Problems 27â€”34, name the quadrant in which the angle lies. cos0 , tan0 In Problems 27â€”34, name the quadrant in which the angle lies. cos0 , tan0 In Problems 27â€”34, name the quadrant in which the angle lies. sec0 , sin0 34AYU In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 3 5 , cos= 4 5 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 4 5 , cos= 3 5 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 2 5 5 , cos= 5 5 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 5 5 , cos= 2 5 5 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 1 2 , cos= 3 2 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 3 2 , cos= 1 2 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 1 3 , cos= 2 2 3 In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric functions. sin= 2 2 3 , cos= 1 3 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 12 13 , in quadrant II In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 3 5 , in quadrant IV In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 4 5 , in quadrant III In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 5 13 , in quadrant III In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 5 13 , 90 180 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 4 5 , 270 360 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 1 3 , 2 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 2 3 , 3 2 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin= 2 3 , tan0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos= 1 4 , tan0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2 , sin0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . csc=3 , cot0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan= 3 4 , sin0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cot= 4 3 , cos0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan= 1 3 , sin0 In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2 , tan0 In 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 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. cos( 270 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. tan( 4 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. cos( 4 )In 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( )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sin( 3 2 )In 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( )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. sec( 5 )In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. csc( 3 )In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 2 40 + cos 2 40 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sec 2 18 - tan 2 18 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 80 cos80 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 10 cot10 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 40 - sin 40 cos 40 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cot 20 - cos 20 sin 20 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cos 400 sec40 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. tan 200 cot20 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin( 12 )csc 25 12 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sec( 18 )cos 37 18 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin( 20 ) cos 380 + tan200 In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 70 cos( 430 ) +tan( 70 )If sin=0.3 , find the value of: sin+sin( +2 )+sin( +4 )If cos=0.2 , find the value of: cos+cos( +2 )+cos( +4 )If tan=3 , find the value of: tan+tan( + )+tan( +2 )If cot=2 , find the value of: cot+cot( - )+cot( -2 )Find the exact value of: sin 1 + sin2 + sin3 ++ sin358 + sin359 Find the exact value of: cos 1 + cos2 + cos3 ++ cos358 + cos359 What is the domain of the sine function?What is the domain of the cosine function?For what numbers is f( )=tan not defined?For what numbers is f( )=cot not defined?For what numbers is f( )=sec not defined?For what numbers is f( )=csc not defined?What is the range of the sine function?What is the range of the cosine function?What is the range of the tangent function?What is the range of the cotangent function?What is the range of the secant function?What is the range of the cosecant function?Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what?Is the tangent function even, odd, or neither? Is its graph symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?In Problems 113-118, use the periodic and even-odd properties. If f( )=sin and f( a )= 1 3 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=cos and f( a )= 1 4 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a-2 )In Problems 113-118, use the periodic and even-odd properties. If f( )=tan and f( a )=2 , find the exact value of: (a) f( a ) (b) f( a )+f( a+ )+f( a+2 )In Problems 113-118, use the periodic and even-odd properties. If f( )=cot and f( a )=3 , find the exact value of: (a) f( a ) (b) f( a )+f( a+ )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=sec and f( a )=4 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )In Problems 113-118, use the periodic and even-odd properties. If f( )=csc and f( a )=2 , find the exact value of: (a) f( a ) (b) f( a )+f( a+2 )+f( a+4 )Calculating the Time of a Trip From a parking lot, you want to walk to a house on the beach. The house is located 1500 feet down a paved path that parallels the ocean, which is 500 feet away. See the illustration. Along the path you can walk 300 feet per minute, but in the sand on the beach you can only walk 100 feet per minute. The time T to get from the parking lot to the beach house expressed as a function of the angle shown in the illustration is T( )=5- 5 3tan + 5 sin , 0 2 Calculate the time T if you walk directly from the parking lot to the house. [Hint: tan= 500 1500 .]Calculating the Time of a Trip Two oceanfront homes are located 8 miles apart on a straight stretch of beach, each a distance of 1 mile from a paved path that parallels the ocean. Sally can jog 8 miles per hour on the paved path, but only 3 miles per hour in the sand on the beach. Because a river flows directly between the two houses, it is necessary to jog in the sand to the road, continue on the path, and then jog directly back in the sand to get from one house to the other. See the illustration. The time T to get from one house to the other as a function of the angle shown in the illustration is T( )=1+ 2 3sin - 1 4tan , 0 2 (a) Calculate the time T for tan= 1 4 . (b) Describe the path taken. (c) Explain why must be larger than 14 .Show that the range of the tangent function is the set of all real numbers.Show that the range of the cotangent function is the set of all real numbers.Show that the period of f( )=sin is 2 . [Hint: Assume that 0p2 exists so that sin( +p )=sin for all . Let =0 to find p . Then let = 2 to obtain a contradiction.]show that the period of f( )=cos is 2 .show that the period of f( )=sec is 2 .show that the period of f( )=csc is 2 .show that the period of f( )=tan is .show that the period of f( )=cot is .Prove the reciprocal identities given in formula (2).Prove the quotient identities given in formula (3).Establish the identity: (sincos) 2 + (sinsin) 2 + cos 2 =1 Write down five properties of the tangent function. Explain the meaning of each.Describe your understanding of the meaning of a periodic function.Explain how to find the value of sin 390 using periodic properties.Explain how to find the value of cos( 45 ) using even-odd properties.Explain how to find the value of sin 390 and cos( 45 ) using the unit circle.1AYU 2AYU 3AYU 4AYU 5AYU 6AYU 7AYU 8AYU 9AYU 10AYU 11AYU 12AYU 13AYU 14AYU 15AYU 16AYU 17AYU 18AYU 19AYU 20AYU 21AYU 22AYU 23AYU 24AYU 25AYU 26AYU

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]