The period of the function $f( heta)=\sin \frac{ heta}{3}+\cos \frac{ heta}{2}$ is

Question

The period of the function $f(	heta)=\sin \frac{	heta}{3}+\cos \frac{	heta}{2}$ is

Aicharya · Accepted Answer

We have, $f(	heta)=\sin \frac{	heta}{3}+\cos \frac{	heta}{2}$ LCM of 3 and 2 is 6 $\Rightarrow \quad \frac{	heta}{6}=2 \pi \Rightarrow 	heta=12 \pi$ $	herefore$ Period is $12 \pi$

The period of the function $f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}$ is

Solution