# What is the amplitude, period and the phase shift of y=cos(t + π/8)?

Jul 16, 2018

As below.

#### Explanation:

Standard form of the cosine function is $y = A \cos \left(B x - C\right) + D$

$y = \cos \left(t + \frac{\pi}{8}\right)$

$A = 1 , B = 1 , C = - \frac{\pi}{8} , D = 0$

Amplitude $= | A | = 1$

Period $= \frac{2 \pi}{|} B | = \frac{2 \pi}{1} = 2 \pi$

Phase Shift $= - \frac{C}{B} = \frac{\pi}{8}$, $\textcolor{p u r p \le}{\frac{\pi}{8}}$ to the RIGHT

Vertical Shift = D = 0#