# How do you write an equation of the cosine function with the given amplitude 2, period pi, and phase shift pi/4?

Aug 1, 2016

f(t) = 2tan (x + pi/4)#

#### Explanation:

$f \left(t\right) = 2 \tan \left(x + \frac{\pi}{4}\right)$
Amplitude: 2
Period of tan x -->$\pi$
Phase shift: $\frac{\pi}{4}$