AnswersPrecalculusTrigonometric Half Angle Identities

Solving Trigonometric Equations Answers

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1
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Evaluate: sin–1(1) 0

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0
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Option
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Select all of the following that represent the exact solutions of .

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3

Remember the definition of csc(x).To graph y = csc-1(x) on the calculator, which expression should be typed in the calculator?

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4

Which is the graph of the inverse secant function?

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5

Solve: 2sec(x) + 5 = 9Which equation is equivalent to the given equation?

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6

Check all that apply.

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7

Solve: tan(x) – cos2(x) = sin2(x)

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8

The motion of a weight that hangs from a spring is represented by the equation . It models the weight’s height (in inches) above or below the rest position as a function of time (in seconds). Approximately when will the object be 3 inches above the rest position? Round to the nearest hundredth. seconds

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Answer:

0.18

9

Solve 2sin2(x) – 5sin(x) – 3 = 0.Let u = sin(x).Which of the following is equivalent to the given equation?(2u + 1)(u – 3) = 0(2u + 3)(u – 5) = 0(2u – 2)(u – 1) = 0

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(2u + 1)(u – 3) = 0
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(2u + 3)(u – 5) = 0
C
(2u – 2)(u – 1) = 0
10

What is the range of y = csc-1(x) ?

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11

Which are solutions of the given equation?

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What are the solutions to the equation?

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