# How do you find the period of f(t)=100-20cos((8pi/3)t)?

May 27, 2018

Period = (3/4)#

#### Explanation:

$f \left(t\right) = - 20 \cos \left(\frac{8 \pi}{3}\right) t + 100$

Standard form of equation is

$y = A \cos \left(B x - C\right) + D$

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

$| B | = \frac{8 \pi}{3}$

$\therefore$ Period $= \frac{2 \pi}{\frac{8 \pi}{3}} = \left(\frac{3}{4}\right)$