Problem 1AYU: The domain of the functionis______. (pp.64-66)
Problem 2AYU Problem 3AYU Problem 4AYU: True or False The equation x 2 +2x= (x+1) 2 1 is an identity. (p.A43) Problem 5AYU 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 Problem 9AYU Problem 10AYU Problem 11AYU Problem 12AYU Problem 13AYU Problem 14AYU Problem 15AYU Problem 16AYU: In Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 17AYU Problem 18AYU Problem 19AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 20AYU Problem 21AYU Problem 22AYU Problem 23AYU Problem 24AYU: ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact... Problem 25AYU Problem 26AYU Problem 27AYU Problem 28AYU Problem 29AYU Problem 30AYU Problem 31AYU Problem 32AYU Problem 33AYU Problem 34AYU Problem 35AYU Problem 36AYU Problem 37AYU Problem 38AYU Problem 39AYU Problem 40AYU Problem 41AYU Problem 42AYU Problem 43AYU Problem 44AYU Problem 45AYU Problem 46AYU Problem 47AYU Problem 48AYU Problem 49AYU Problem 50AYU 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 .
,
... Problem 53AYU: In Problems 43-58, find the. exact value of each of the remaining trigonometric functions of .
,
... 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 .
,
... 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 .
,
... 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: ln Problems 77-88, use properties of the trigonometric functions to find the exact value of each... Problem 86AYU: ln 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 , find the value of:
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:
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 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 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 and , find the exact value... 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 and , find the exact value... 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 is.
[Hint: Assume that exists so that for all. Let to find. Then let to... 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 is .
Problem 127AYU: show that the period of f( )=tan is . Problem 128AYU: show that the period of 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 and using the unit circle.
Problem 137AYU: Problems 137-140 are based on material learned earlier in the course. The purpose of these problems... Problem 138AYU: Problems 137-140 are based on material learned earlier in the course. The purpose of these problems... Problem 139AYU:
Problems 137-140 are based on material learned earlier in the course. The purpose of these problems... Problem 140AYU: Problems 143152 are based on material learned earlier in the course. The purpose of these problems... format_list_bulleted
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