Solving Trigonometric Equations

Question 1

Evaluate: sin–1(1) 0

Revolt · Accepted Answer

C:

Question 2

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

Revolt · Accepted Answer

C:

Question 3

Which is the graph of the inverse secant function?

Revolt · Accepted Answer

A:

Question 4

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

Revolt · Accepted Answer

A:

Question 5

Check all that apply.

Revolt · Accepted Answer

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Question 6

Solve: tan(x) – cos2(x) = sin2(x)

Revolt · Accepted Answer

A:

Question 7

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

Revolt · Accepted Answer

0.18

Question 8

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

Revolt · Accepted Answer

A: (2u + 1)(u – 3) = 0

Question 9

Does the equation sin2(x) – 4 = 0 have any solutions? Explain.

Revolt · Accepted Answer

No, the equation has no solutions. Isolating the sine gives sin(x) = ±2. Because the range of sine is [-1, 1], values ±2 are impossible (they are also outside the domain of arcsin). Hence there are no real solutions.

Question 10

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

Revolt · Accepted Answer

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Solving Trigonometric Equations Answers

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