Problem 1CP: Check Point 1 Use the figure on the right to find the values of the trigonometric functions at t.
Problem 2CP: Check Point 2 Use the figure on the right to find the values of the trigonometric functions at t=. Problem 3CP: Check Point 3 Find csc4, sec4, and cot4. Problem 4CP: Check Point 4 Find the value of each trigonometric function: sec(4) b. sin(4) Problem 5CP: Check Point 5 Given sint=23 and cost=53, find the value of each of the four remaining trigonometric... Problem 6CP:
Check Point 6 Given that and , find the value of using a trigonometric identity.
Problem 7CP Problem 8CP Problem 1CVC Problem 2CVC Problem 3CVC: Fill in each blank so that the resulting statement is true. The two trigonometric functions defined... Problem 4CVC Problem 5CVC Problem 6CVC Problem 7CVC Problem 8CVC Problem 9CVC Problem 10CVC Problem 11CVC Problem 12CVC Problem 13CVC Problem 1PE: In Exercises 1-4, a point P(x, y ) is shown on the unit circle corresponding to a real number t.... Problem 2PE: In Exercises 1-4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find... Problem 3PE: In Exercises 1-4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find... Problem 4PE: In Exercises 1-4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find... Problem 5PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to t... Problem 6PE: In Exercises 5 18 . the unit circle has been divided into twelve equal arcs, corresponding to... Problem 7PE: In Exercises 5-18. the unit circle has been divided into twelve equal arcs corresponding to t-values... Problem 8PE: In Exercises 5 -18 , the unit circle has been divided into twelve equal arcs, corresponding to... Problem 9PE: In Exercises 5 -18 , the unit circle has been divided into twelve equal arcs, corresponding to... Problem 10PE: In Exercises 5 -18 , the unit circle has been divided into twelve equal arcs, corresponding to... Problem 11PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to t... Problem 12PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to t... Problem 13PE: In Exercises 5-18. the unit circle has been divided into twelve equal arcs, corresponding to... Problem 14PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 15PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 16PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 17PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 18PE: In Exercises 5-18. the unit circle has been divided into twelve equal arcs, corresponding to... Problem 19PE: In Exercises 19-24.
a. Use the unit circle shown for Exercises 5-18 to find the value of the... Problem 20PE: In Exercises 19-24. a. Use the unit circle shown for Exercises 5-18 to find the value of the... Problem 21PE: In Exercises 19-24. a. Use the unit circle shown for Exercises 5-18 to find the value of the... Problem 22PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 23PE: In Exercises 19-24. a. Use the unit circle shown for Exercises 5-18 to find the value of the... Problem 24PE: In Exercises 5-18, the unit circle has been divided into twelve equal arcs, corresponding to... Problem 25PE: In Exercises 25-28, sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot... Problem 26PE: In Exercises 25-28, sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot... Problem 27PE: In Exercises 25-28, sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot... Problem 28PE: In Exercises 25-28, sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot... Problem 29PE: In Exercises 29-32, 0t2 and sin t is given, Use the Pythagorean identity sin2t+cos2t=1 to find cot... Problem 30PE: In Exercises 29-32, 0t2 and sin t is given, Use the Pythagorean identity sin2t+cos2t=1 to find cot... Problem 31PE: In Exercises 29-32, and sin t is given, Use the Pythagorean identity to find cot t.
31.
Problem 32PE: In Exercises 29-32, and sin t is given, Use the Pythagorean identity to find cot t.
32.
Problem 33PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a calculator.... Problem 34PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a calculator.... Problem 35PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a calculator.... Problem 36PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a calculator.... Problem 37PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a... Problem 38PE: In Exercises 33-38, use an identity to find the value of each expression. Do not use a... Problem 39PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a... Problem 40PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 41PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 42PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 43PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 44PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 45PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 46PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 47PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 48PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 49PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 50PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a... Problem 51PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a... Problem 52PE: In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator.... Problem 53PE: In Exercises 23-32, the unit circle has been divided into eight equal arts, corresponding to... Problem 54PE: In Exercises 25-32, the unit circle has been divided into eight equal arcs, corresponding to... Problem 55PE: In Exercises 25-32, the unit circle has been divided Into eight equal arcs, corresponding to... Problem 56PE: In Exercises 25-32, the unit circle has been divided into eight equal arcs, corresponding to... Problem 57PE: In Exercises 25-32, the unit circle has been divided into eight equal arcs, corresponding to... Problem 58PE: In Exercises 25-32, the unit circle has been divided into eight equal arcs, corresponding to... Problem 59PE: In Exercises 23-32, the unit circle has been divided into eight equal arcs, corresponding to... Problem 60PE: In Exercises 25-32, the unit circle has been divided into eight equal arcs, corresponding to t... Problem 61PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 62PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 63PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 64PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 65PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 66PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 67PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 68PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 69PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 70PE: In Exercises 61-70, use a calculator to find the value of the trigonometric function to four decimal... Problem 71PE: In Exercises 33-42, let
.
Write each expression in terms of a. b. and c.
33.
Problem 72PE: In Exercises 33-42, let sint=a,cost=b,andtant=c. Write each expression in terms of a, b. and c.... Problem 73PE: In Exercises 33-42, let
Write each expression in terms of a, b. and c.
35.
Problem 74PE: In Exercises 33-42, let sint=a,cost=b,andtant=c. Write each expression in terms of a, b, and c.... Problem 75PE: In Exercises 33-42, let
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Write each expression in terms of a, b, and c.
37.
Problem 76PE: In Exercises 33-42, let
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Write each expression in terms of a, b, and c.
38.
Problem 77PE: In Exercises 33-42, let
.
Write each expression in terms of a, b, and c.
39.
Problem 78PE: In Exercises 33-42, let sint=a,cost=b,andtant=c. Write each expression in terms of a, b, and c.... Problem 79PE: Practice Plus In Exercises 33-42, let sint=a,cost=b,andtant=c. Write each expression in terms of a,... Problem 80PE: Practice Plus
In Exercises 33 -42 , let
.
Write each expression in terms of a, b, and c.
42.
Problem 81PE: Application Exercises
In Exercises 43 -44 , use a calculator in radian mode in parts (b) and... Problem 82PE: Application Exercises In Exercises 43-44, use a calculator in radian mode in parts (b) and (c). The... Problem 83PE: Application Exercises In Exercises 43-44, use a calculator in radian mode in parts (b) and (c). In... Problem 84PE: 46. The height of the water, H, in feet, at a boat dock t hours after 6 a.m. is given by
a. Find... Problem 85PE: 47. Why are the trigonometric functions sometimes called circular functions?
Problem 86PE: 86. Define the sine of t.
Problem 87PE Problem 88PE: What is the range of the sine function? Use the unit circle to explain where this range comes from. Problem 89PE: Explain how to use the unit circle to find values of the trigonometric functions at 4. Problem 90PE: 49. What do we mean by even trigonometric functions? Which of the six functions fall into this... Problem 91PE: Use words (not an equation) to describe one of the reciprocal identities. Problem 92PE: 92. Use words (not an equation) to describe one of the quotient identities.
Problem 93PE: 93. Use words (not an equation) to describe one of the Pythagorean identities
Problem 94PE: What is a periodic function? Why are the sine and cosine functions periodic? Problem 95PE: Explain how you can use the function for emotional fluctuations in Exercise 45 to determine good... Problem 96PE: 52. Describe a phenomenon that repeats indefinitely. What is its period?
Problem 97PE: Make Sense? In Exercises 53-56, determine whether each statement makes sense or does not make sense,... Problem 98PE: Make Sense? In Exercises 53-56, determine whether each statement makes sense or does not make sense,... Problem 99PE: Make Sense? In Exercises 53-56, determine whether each statement makes sense or does not make sense,... Problem 100PE: Make Sense? In Exercises 53-56, determine whether each statement makes sense or does not make sense,... Problem 101PE: Find the exact value of cos0+cos1+cos2+cos3++cos179+cos180. Problem 102PE: 58. If and , find the value of
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Problem 103PE: 59. If and , find the value of .
Problem 104PE: The seats of a Ferris wheel are 40 feet from the wheels center. When you get on the ride, your seat... Problem 105PE: 61. If , find , and simplify. (Section 2.2 . Example 5)
Problem 106PE: 62. Solve and graph the solution set on a number line:
.
(Section 3.6, Example 1)
Problem 107PE: Use the exponential growth model, A=A0ekt, to solve this exercise. In 1980, the elderly U.S.... Problem 108PE: If a=5 and b=12, find the ratio of the length of the side opposite to the length of the hypotenuse. Problem 109PE: If a=1 and b=1, find the ratio of the length of the side opposite to the length of the hypotenuse.... Problem 110PE: Simplify: (ac)2+(bc)2. format_list_bulleted