# How do you determine the period for y=cos(θ/4)?

Period : $\theta = 8 \pi$
The period of $\cos \theta$ is $2 \pi$ because a complete cycle is made by covering an angle of $2 \pi$
Hence, the period of $\cos \left(\frac{\theta}{4}\right)$ will be the value of $\theta$ for which $\frac{\theta}{4} = 2 \pi$
$\implies \theta = 8 \pi$ is the period!