Answer
A function $f(x)$ is periodic if there is a positive number $p$ such that $f(x+p)=f(p)$ for every value of $x$. The smallest such value of $p$ is the period of $f$
The trigonometric functions are periodic functions. For instance, $sin(x+2\pi)=sin(x)$
The period of sine, cosine, secant and cosecant is $2\pi$ while the periods of tangent and cotangent is $\pi$
Work Step by Step
Use the definition of periodic functions
