# How do you find the amplitude and period of y=0.5cos2pix?

Aug 12, 2015

Amplitude= 0.5
Period=1

#### Explanation:

Amplitude is the coefficient of $0.5 \cos \left(\theta\right)$. So it is 0.5

Period comes from $\omega = \frac{2 \pi}{T}$

$\cos \left(\omega x\right) = \cos \left(2 \pi x\right)$
Hence, $\omega = 2 \pi$

$\frac{2 \pi}{T} = 2 \pi$

Solve for $T$, you get $T = 1$.