Exam 11: Analytic Trigonometry

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Find the exact value of the given expression using a sum or difference formula. Find the exact value of the given expression using a sum or difference formula.

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Which of the following is equivalent to the expression below? Which of the following is equivalent to the expression below?    Which of the following is equivalent to the expression below?

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Use a double-angle formula to find the exact value of Use a double-angle formula to find the exact value of   when   . when Use a double-angle formula to find the exact value of   when   . .

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Solve the multiple-angle equation in the interval Solve the multiple-angle equation in the interval   .    . Solve the multiple-angle equation in the interval   .    Solve the multiple-angle equation in the interval   .

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Which of the following is a solution to the given equation? Which of the following is a solution to the given equation?    Which of the following is a solution to the given equation?

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Use the half-angle formula to simplify the given expression. Use the half-angle formula to simplify the given expression.

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

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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.

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Simplify the given expression algebraically. Simplify the given expression algebraically.    Simplify the given expression algebraically.

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Solve the following equation. Solve the following equation.    Solve the following equation.

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Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

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

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Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    . Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .

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