Problem 1AYU: The domain of the function f(x)= x+1 2x+1 is _____ . (pp.64-66) Problem 2AYU: A function for which f(x)=f(x) for all x in the domain of f is called a(n) _____ function. (pp.... Problem 3AYU: True or False The function f(x)= x is even. (pp.81-83) Problem 4AYU: True or False The equation x 2 +2x= (x+1) 2 1 is an identity. (p.A43) Problem 5AYU: The sine, cosine, cosecant, and secant functions have period _____ ; the tangent and cotangent... Problem 6AYU: The domain of the tangent function is _____ . Problem 7AYU: Which of the following is not in the range of the sine function? a. 4 b. 3 2 c. 0.37 d. 1 Problem 8AYU: Which of the following functions is even? a. cosine b. sine c. tangent d. cosecant Problem 9AYU: sin 2 + cos 2 = _____ . Problem 10AYU: True or False sec= 1 sin Problem 11AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 12AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 13AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 14AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 15AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 16AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 17AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 18AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 19AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 20AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 21AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 22AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 23AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 24AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 25AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 26AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 27AYU: In Problems 27—34, name the quadrant in which the angle lies. sin0 , cos0 Problem 28AYU: In Problems 27—34, name the quadrant in which the angle lies. sin0 , cos0 Problem 29AYU: In Problems 27—34, name the quadrant in which the angle lies. sin0 , tan0 Problem 30AYU: In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0 Problem 31AYU: In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0 Problem 32AYU: In Problems 27—34, name the quadrant in which the angle lies. cos0 , tan0 Problem 33AYU: In Problems 27—34, name the quadrant in which the angle lies. sec0 , sin0 Problem 34AYU Problem 35AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 36AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 37AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 38AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 39AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 40AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 41AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 42AYU: In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric... Problem 43AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=... Problem 44AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=... Problem 45AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=... Problem 46AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=... Problem 47AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=... Problem 48AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=... Problem 49AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=... Problem 50AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=... Problem 51AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=... Problem 52AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=... Problem 53AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2... Problem 54AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . csc=3... Problem 55AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan=... Problem 56AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cot=... Problem 57AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan=... Problem 58AYU: In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2... Problem 59AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 60AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 61AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 62AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 63AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 64AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 65AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 66AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 67AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 68AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 69AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 70AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 71AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 72AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 73AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 74AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 75AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 76AYU: In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not... Problem 77AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 78AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 79AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 80AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 81AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 82AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 83AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 84AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 85AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 86AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 87AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 88AYU: In Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 89AYU: If sin=0.3 , find the value of: sin+sin( +2 )+sin( +4 ) Problem 90AYU: If cos=0.2 , find the value of: cos+cos( +2 )+cos( +4 ) Problem 91AYU: If tan=3 , find the value of: tan+tan( + )+tan( +2 ) Problem 92AYU: If cot=2 , find the value of: cot+cot( - )+cot( -2 ) Problem 93AYU: Find the exact value of: sin 1 + sin2 + sin3 ++ sin358 + sin359 Problem 94AYU: Find the exact value of: cos 1 + cos2 + cos3 ++ cos358 + cos359 Problem 95AYU: What is the domain of the sine function? Problem 96AYU: What is the domain of the cosine function? Problem 97AYU: For what numbers is f( )=tan not defined? Problem 98AYU: For what numbers is f( )=cot not defined? Problem 99AYU: For what numbers is f( )=sec not defined? Problem 100AYU: For what numbers is f( )=csc not defined? Problem 101AYU: What is the range of the sine function? Problem 102AYU: What is the range of the cosine function? Problem 103AYU: What is the range of the tangent function? Problem 104AYU: What is the range of the cotangent function? Problem 105AYU: What is the range of the secant function? Problem 106AYU: What is the range of the cosecant function? Problem 107AYU: Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what? Problem 108AYU: Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what? Problem 109AYU: Is the tangent function even, odd, or neither? Is its graph symmetric? With respect to what? Problem 110AYU: Is the cotangent function even, odd, or neither? Is symmetric? With respect to what? Problem 111AYU: Is the cotangent function even, odd, or neither? Is symmetric? With respect to what? Problem 112AYU: Is the cotangent function even, odd, or neither? Is symmetric? With respect to what? Problem 113AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=sin and f( a )= 1 3 , find... Problem 114AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=cos and f( a )= 1 4 , find... Problem 115AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=tan and f( a )=2 , find the... Problem 116AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=cot and f( a )=3 , find the... Problem 117AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=sec and f( a )=4 , find the... Problem 118AYU: In Problems 113-118, use the periodic and even-odd properties. If f( )=csc and f( a )=2 , find the... Problem 119AYU: Calculating the Time of a Trip From a parking lot, you want to walk to a house on the beach. The... Problem 120AYU: Calculating the Time of a Trip Two oceanfront homes are located 8 miles apart on a straight stretch... Problem 121AYU: Show that the range of the tangent function is the set of all real numbers. Problem 122AYU: Show that the range of the cotangent function is the set of all real numbers. Problem 123AYU: Show that the period of f( )=sin is 2 . [Hint: Assume that 0p2 exists so that sin( +p )=sin for all... Problem 124AYU: show that the period of f( )=cos is 2 . Problem 125AYU: show that the period of f( )=sec is 2 . Problem 126AYU: show that the period of f( )=csc is 2 . Problem 127AYU: show that the period of f( )=tan is . Problem 128AYU: show that the period of f( )=cot is . Problem 129AYU: Prove the reciprocal identities given in formula (2). Problem 130AYU: Prove the quotient identities given in formula (3). Problem 131AYU: Establish the identity: (sincos) 2 + (sinsin) 2 + cos 2 =1 Problem 132AYU: Write down five properties of the tangent function. Explain the meaning of each. Problem 133AYU: Describe your understanding of the meaning of a periodic function. Problem 134AYU: Explain how to find the value of sin 390 using periodic properties. Problem 135AYU: Explain how to find the value of cos( 45 ) using even-odd properties. Problem 136AYU: Explain how to find the value of sin 390 and cos( 45 ) using the unit circle. format_list_bulleted