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Exam 6: Analytic Trigonometry

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Exam 1: Functions and Their Graphs150 Questionsadd course
Exam 2: Solving Equations and Inequalities144 Questionsadd course
Exam 3: Polynomial and Rational Functions150 Questionsadd course
Exam 4: Exponential and Logarithmic Functions150 Questionsadd course
Exam 5: Trigonometric Functions150 Questionsadd course
Exam 6: Analytic Trigonometry150 Questionsadd course
Exam 7: Additional Topics in Trigonometry150 Questionsadd course
Exam 8: Linear Systems and Matrices150 Questionsadd course
Exam 9: Sequences, Series, and Probability150 Questionsadd course
Exam 10: Topics in Analytic Geometry150 Questionsadd course
Exam 11: Algebraic Expressions and Equations149 Questionsadd course
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The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. where t is the time (in months), with The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. corresponding to January. Determine the months when sales exceed The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. units at any time during the month.

(Multiple Choice)
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Question 41

Use the product-to-sum formula to write the given product as a sum or difference. Use the product-to-sum formula to write the given product as a sum or difference.

(Multiple Choice)
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Question 42

Use the figure below to find the exact value of the given trigonometric expression. Use the figure below to find the exact value of the given trigonometric expression. Use the figure below to find the exact value of the given trigonometric expression.

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Question 43

If If , use trigonometric substitution to write as a trigonometric function of \theta , where . , use trigonometric substitution to write If , use trigonometric substitution to write as a trigonometric function of \theta , where . as a trigonometric function of θ\theta , where If , use trigonometric substitution to write as a trigonometric function of \theta , where . .

(Multiple Choice)
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Question 44

Find the exact solutions of the given equation in the interval Find the exact solutions of the given equation in the interval . . Find the exact solutions of the given equation in the interval .

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Question 45

Use the half-angle formulas to determine the exact value of the given trigonometric expression. Use the half-angle formulas to determine the exact value of the given trigonometric expression.

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Question 46

Write the given expression as an algebraic expression. Write the given expression as an algebraic expression.

(Multiple Choice)
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Question 47

Use the sum-to-product formulas to find the exact value of the given expression. Use the sum-to-product formulas to find the exact value of the given expression.

(Multiple Choice)
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Question 48

Find the exact value of Find the exact value of given that and . (Both u and v are in Quadrant II.) given that Find the exact value of given that and . (Both u and v are in Quadrant II.) and Find the exact value of given that and . (Both u and v are in Quadrant II.) . (Both u and v are in Quadrant II.)

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Question 49

Use the cofunction identities to evaluate the expression below without the aid of a calculator. Use the cofunction identities to evaluate the expression below without the aid of a calculator.

(Multiple Choice)
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Question 50

Use the product-to-sum formula to write the given product as a sum or difference. Use the product-to-sum formula to write the given product as a sum or difference.

(Multiple Choice)
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(29)
Question 51

Find the exact value of Find the exact value of given that and . (Both u and v are in Quadrant II.) given that Find the exact value of given that and . (Both u and v are in Quadrant II.) and Find the exact value of given that and . (Both u and v are in Quadrant II.) . (Both u and v are in Quadrant II.)

(Multiple Choice)
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Question 52

Use the sum-to-product formulas to find the exact value of the given expression. Use the sum-to-product formulas to find the exact value of the given expression.

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Question 53

Rewrite Rewrite as a single logarithm and then simplify the result. as a single logarithm and then simplify the result.

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Question 54

Use the half-angle formulas to determine the exact value of the given trigonometric expression. Use the half-angle formulas to determine the exact value of the given trigonometric expression.

(Multiple Choice)
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Question 55

The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. where t is the time (in months), with The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. corresponding to January. Determine the months when sales exceed The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by where t is the time (in months), with corresponding to January. Determine the months when sales exceed units at any time during the month. units at any time during the month.

(Multiple Choice)
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Question 56

If If , use trigonometric substitution to write as a trigonometric function of \theta , where . , use trigonometric substitution to write If , use trigonometric substitution to write as a trigonometric function of \theta , where . as a trigonometric function of θ\theta , where If , use trigonometric substitution to write as a trigonometric function of \theta , where . .

(Multiple Choice)
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Question 57

Find the exact value of the given expression. Find the exact value of the given expression.

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Question 58

Use the sum-to-product formulas to find the exact value of the given expression. Use the sum-to-product formulas to find the exact value of the given expression.

(Multiple Choice)
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Question 59

Find all solutions of the given equation in the interval Find all solutions of the given equation in the interval . . Find all solutions of the given equation in the interval .

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