What is the period of the function y= -2 cos(4x-pi) -5?

Mar 12, 2018

$\frac{\pi}{2}$

Explanation:

In a sinusoidal equation

$y = a \cos \left(b x + c\right) + d$,

the amplitude of the function will equal $| a |$, the period will equal $\frac{2 \pi}{b}$, the phase shift will equal $- \frac{c}{b}$, and the vertical shift will equal $d$.

So when $b = 4$, the period will be $\frac{\pi}{2}$ because $\frac{2 \pi}{4} = \frac{\pi}{2}$.