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Chapter 6: Q 5. (page 408)

The function $y = 3 \cos (6 x)$ has amplitude ___ and period _.

Short Answer

Expert verified

$(a) 3 (b) \frac{π}{3}$ .

Step by step solution

01

Step 1. Given Information.

The function $y = 3 \cos (6 x)$ has amplitude _____ and period ______.

02

Step 2. Filling Up.

If $ω > 0$ , the amplitude and period of $y = A \cos (ω x)$ are given by

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

On Comparing $y = 3 \cos (6 x)$ , we get

$|A| = 3$

Period $= T = \frac{2 π}{6} = \frac{π}{3}$ .

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