Answer
The period of a trigonometric function = the distance required for the function to complete one full cycle
sine, cosine, secant, cosecant: $2\pi$
tange=nt, cotagent: $\pi$
Work Step by Step
The period of a trigonometric function is the distance required for the function to complete one full cycle, which means the smallest interval after which the function's values repeat.
The period of the six trigonometric functions are:
$\sin x$: $2\pi$
$\cos x$: $2\pi$
$\tan x$: $\pi$
$\cot x$: $\pi$
$\sec x$: $2\pi$
$\csc x$: $2\pi$
