Problem 1CP: Check Point 1 Find the exact value of .
Problem 2CP Problem 3CP Problem 4CP Problem 5CP Problem 6CP Problem 7CP Problem 8CP Problem 9CP Problem 1CVC Problem 2CVC Problem 3CVC: Fill in each blank so that the resulting statement is true.
3. By restricting the domain of ... Problem 4CVC Problem 5CVC Problem 6CVC Problem 7CVC Problem 8CVC Problem 9CVC Problem 10CVC Problem 1PE: In Exercises 1-18, find the exact value of each expression. sin112 Problem 2PE: In Exercises 1-18, find the exact value of each expression. sin10 Problem 3PE: In Exercises 1-18, find the exact value of each expression.
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Problem 4PE: In Exercises 1-18, find the exact value of each expression.
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Problem 5PE: In Exercises 1-18, find the exact value of each expression.
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Problem 6PE: In Exercises 1-18, find the exact value of each expression. sin1(32) Problem 7PE: In Exercises 1-18, find the exact value of each expression. cos132 Problem 8PE: In Exercises 1-18, find the exact value of each expression.
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Problem 9PE: In Exercises 1-18, find the exact value of each expression.
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Problem 10PE: In Exercises 1-18, find the exact value of each expression.
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Problem 11PE: In Exercises 1-18, find the exact value of each expression. cos10 Problem 12PE: In Exercises 1-18, find the exact value of each expression.
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Problem 13PE: In Exercises 1-18, find the exact value of each expression. tan133 Problem 14PE: In Exercises 1-18, find the exact value of each expression. tan11 Problem 15PE: In Exercises 1-18, find the exact value of each expression. tan10 Problem 16PE: In Exercises 1-18, find the exact value of each expression. tan1(1) Problem 17PE: In Exercises 1-18, find the exact value of each expression.
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Problem 18PE: In Exercises 1-18, find the exact value of each expression.
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Problem 19PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 20PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 21PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 22PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 23PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 24PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 25PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 26PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 27PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 28PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 29PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 30PE: In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal... Problem 31PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 32PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 33PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 34PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 35PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 36PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 37PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 38PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 39PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 40PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a... Problem 41PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 42PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 43PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 44PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 45PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 46PE: In Exercises 31-46, find the exact value of each expression, if possible. Do not use a calculator.... Problem 47PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 48PE: In Exercises 47-62, use a sketch to find the exact value of each expression. sin(tan1724) Problem 49PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 50PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 51PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 52PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 53PE: In Exercises 47-62, use a sketch to find the exact value of each| expression. sin(cos122) Problem 54PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 55PE: In Exercises 47-62, use a sketch to find the exact value of each| expression. sec[sin1(14)] Problem 56PE: In Exercises 47-62, use a sketch to find the exact value of each| expression. sec[sin1(12)] Problem 57PE: In Exercises 47-62, use a sketch to find the exact value of each| expression. tan[cos1(13)] Problem 58PE: In Exercises 47-62, use a sketch to find the exact value of each expression.
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Problem 59PE: In Exercises 47-62, use a sketch to find the exact value of each| expression. csc[cos1(32)] Problem 60PE: In Exercises 47-62, use a sketch to find the exact value of each expression. sec[sin1(22)] Problem 61PE: In Exercises 47-62, use a sketch to find the exact value of each expression. cos[tan1(23)] Problem 62PE: In Exercises 47-62, use a sketch to find the exact value of each| expression.
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Problem 63PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 64PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 65PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 66PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 67PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 68PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 69PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 70PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 71PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 72PE: In Exercises 63-72, use a right triangle to write each expression as an algebraic expression. Assume... Problem 73PE: a. Graph the restricted secant function, y=secx, by restricting x to the intervals [0,2)and(2,] b.... Problem 74PE: 74. a. Graph the restricted cotangent function, , by restricting x to the interval .
b. Use the... Problem 75PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 76PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 77PE: The graphs of y=sin1x,y=cos1x, and y=tan1x are shown in Table 5.10 on page 640. In Exercises 75-84,... Problem 78PE: The graphs of y=sin1x,y=cos1x, and y=tan1x are shown in Table 5.10 on page 640. In Exercises 75-84,... Problem 79PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 80PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 81PE: The graphs of y=sin1x,y=cos1x, and y=tan1x are shown in Table 5.10 on page 640. In Exercises 75-84,... Problem 82PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 83PE: The graphs of . and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 84PE: The graphs of , and are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations... Problem 85PE: In Exercises 85-92, determine the domain and the range of each function. f(x)=sin(sin1x) Problem 86PE: In Exercises 85-92, determine the domain and the range of each function.
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Problem 87PE: In Exercises 85-92, determine the domain and the range of each function. f(x)=cos1(cosx) Problem 88PE: In Exercises 85-92, determine the domain and the range of each function. f(x)=sin1(sinx) Problem 89PE: In Exercises 85-92, determine the domain and the range of each function.
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Problem 90PE: In Exercises 85-92, determine the domain and the range of each function. f(x)=cos1(sinx) Problem 91PE: In Exercises 85-92, determine the domain and the range of each function.
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Problem 92PE: In Exercises 85-92, determine the domain and the range of each function.
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Problem 93PE: Your neighborhood movie theater has a 25-foot-high screen located 8 feet above your eye level. If... Problem 94PE: The function =tan133xtan18x, described in Exercise 93, is graphed below in a [0,50,10] by [0,1,0.1]... Problem 95PE: gives the viewing angle, , in radians, for a camera whose lens is x millimeters wide. Use this... Problem 96PE: gives the viewing angle, , in radians, for a camera whose lens is x millimeters wide. Use this... Problem 97PE: For years, mathematicians were challenged by the following problem: What is the area of a region... Problem 98PE: For years, mathematicians were challenged by the following problem: What is the area of a region... Problem 99PE: Explain why. without restrictions, no trigonometric function has an inverse function. Problem 100PE: 100. Describe the restriction on the sine function so that it has an inverse function.
Problem 101PE: 101. How can the graph of be obtained from the graph of the restricted sine function?
Problem 102PE: Without drawing a graph, describe the behavior of the graph of y=sin1x. Mention the function's... Problem 103PE: 103. Describe the restriction on the cosine function so that it has an inverse function.
Problem 104PE: Without drawing a graph, describe the behavior of the graph of y=cos1x. Mention the functions domain... Problem 105PE: 105. Describe the restriction on the tangent function so that it has an inverse function.
Problem 106PE: Without drawing a graph, describe the behavior of the graph of y=tan1x. Mention the function's... Problem 107PE:
107. If Explain your answer.
Problem 108PE: Explain how a right triangle can be used to find the exact value of sec (sin145). Problem 109PE: 109. Find the height of the screen and the number of feet that it is located above eye level in your... Problem 110PE: In Exercises 110-113, graph each pair of functions in the same viewing rectangle. Use your knowledge... Problem 111PE: In Exercises 110-113, graph each pair of functions in the same viewing rectangle. Use your knowledge... Problem 112PE: In Exercises 110-113, graph each pair of functions in the same viewing rectangle. Use your knowledge... Problem 113PE: In Exercises 110-113, graph each pair of functions in the same viewing rectangle. Use your knowledge... Problem 114PE: Graph y=tan1x and its two horizontal asymptotes in a [-3, 3, 1] by [,,2]. viewing rectangle. Then... Problem 115PE: Graph y=sin1x+cos1x in a [-2, 2, 1] by [0, 3, 1] viewing rectangle. What appears to be true about... Problem 116PE: Make Sense? In Exercises 116-119, determine whether each statement makes sense or does not make... Problem 117PE: Make Sense? In Exercises 116-119, determine whether each statement makes sense or does not make... Problem 118PE: Make Sense? In Exercises 116-119, determine whether each statement makes sense or does not make... Problem 119PE: Make Sense? In Exercises 116-119, determine whether each statement makes sense or does not make... Problem 120PE: 120. Solve for x in terms of y.
Problem 121PE: Solve for x:2sin1x=4. Problem 122PE: Prove that if x0,tan1x+tan11x=2 Problem 123PE: 123. Derive the formula for , your viewing angle at the movie theater, in Exercise 93. Hint: Use the... Problem 124PE: 124. Expand: .
(Section 4.3, Example 4)
Problem 125PE: Write as a single logarithm: 12logx+6log(x2).(Section 4.3. Example 6) Problem 126PE: Graph: f(x)=5x+1x1. (Section 3.5. Example 5) Problem 127PE Problem 128PE Problem 129PE: Exercises 127-129 will help you prepare for the material covered in the next section. Determine the... format_list_bulleted