# What is the period of f(t)=cos ( ( 8 t ) / 3 ) ?

Aug 5, 2018

color(blue)("Period " = 3/4 pi

#### Explanation:

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

$\text{Given : } f \left(t\right) = \cos \left(\frac{8}{3} t\right)$

$A = 1 , B = \frac{8}{3} , C = D = 0$

$A m p l i t u \mathrm{de} = | A | = 1$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{|} \frac{8}{3} | = \frac{3}{4} \pi$

$\text{Phase Shift } = \frac{- C}{B} = 0$

$\text{Vertical Shift } = D = 0$

graph{cos (8/3 x) [-10, 10, -5, 5]}