What is the period of the function $c(x)=\cos x+0.5 \cos 5 x$
?
A) $2 \pi$

B) $\pi$

C) $\frac{\pi}{5}$

D)The function is not periodic

Question

What is the period of the function $c(x)=\cos x+0.5 \cos 5 x$
 ?
A) $2 \pi$

B) $\pi$

C) $\frac{\pi}{5}$

D)The function is not periodic

Quizplus · Accepted Answer

The period of $c(x)=\cos x+0.5 \cos 5x$ is determined by the periods of its components, $\cos x$ and $0.5 \cos 5x$. The period of $\cos x$ is $2\pi$, and the period of $0.5 \cos 5x$ is $\frac{2\pi}{5}$. The least common multiple of these periods is $2\pi$, making it the period of the function $c(x)$.

What Is the Period of the Function c(x)=cos⁡x+0.5cos⁡5xc(x)=\cos x+0.5 \cos 5 xc(x)=cosx+0.5cos5x

What Is the Period of the Function $c(x)=\cos x+0.5 \cos 5 x$