Question

The period of the function $f(x)=\cos 4x+\tan 3x$ is

• A. $\frac{\pi }{12}$
• B. $\frac{\pi }{6}$
• C. $\frac{\pi }{2}$
• D. $\pi$

Answer 1

Answer: (D)

Let $f(x)=\cos 4x+\tan 3x$
Period of $\cos 4x=\frac{2\pi }{4}=\frac{\pi }{2}.<br/><br/>$ Period of $\tan 3x=\frac{\pi }{3}$
$\therefore$ period of $f(x)=LCM$ of $\left(\frac{\pi }{3},\frac{\pi }{2}\right)=\pi$