Chapter 6: Q 20. (page 409)

Determine the amplitude and period of each function without graphing.
$y = \frac{9}{5} \cos (- \frac{3 π}{2} x)$ .

Short Answer

Expert verified

The amplitude is $\frac{9}{5}$ and period is $\frac{4}{3}$ .

Step by step solution

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

$y = \frac{9}{5} \cos (- \frac{3 π}{2} x)$ .

Step 2. Evaluation.

For $ω > 0$ , the amplitude and period is $y = A \sin (ω x)$ is given by

Amplitude $= |A|$ , Period $= T = \frac{2 π}{ω}$ .

On comparing, we get

Amplitude $= |\frac{9}{5}| = \frac{9}{5}$ , $ω = - \frac{3 π}{2}$

Then, Period $= T = \frac{2 π}{- \frac{3 π}{2}} = - \frac{4}{3}$ .

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Determine the amplitude and period of each function without graphing.
$y = \frac{9}{5} \cos (- \frac{3 π}{2} x)$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Evaluation.

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Determine the amplitude and period of each function without graphing.y=95cos-3π2x.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Evaluation.

One App. One Place for Learning.

Most popular questions from this chapter

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Determine the amplitude and period of each function without graphing.
$y = \frac{9}{5} \cos (- \frac{3 π}{2} x)$ .