Question

Please find the period of function
f(x) = sinx + tanx

Answer 1

The period of $\sin\,x$ is $2\pi$ and the period of $\tan\,x$ is $\pi$.

The pattern repeats every lcm of above individual periods : $\text{lcm}(2\pi,\,\pi)~=~2\pi$.

So the period of $\sin\,x+\tan\,x$ is $2\pi$

Answer 2

The period of  is  and the period of  is .

The pattern repeats every lcm of above individual periods : .

So the period of  is