Question

The period of $\cos h\left(4x\right)$ is

• A. $2\mathrm{\pi i}$
• B. $\mathrm{\pi i}$
• C. $\frac{\mathrm{\pi i}}{2}$
• D. $2\mathrm{\pi }$

Answer 1

The correct option is C

$\frac{\mathrm{\pi i}}{2}$

Explanation for the correct option:

Given, $\cos h\left(4x\right)$

As we know that the period of $\cos h\left(x\right)$ is $2\mathrm{\pi i}$.

i.e., $T\left(\cos h\left(x\right)\right)=2\mathrm{\pi i}$

$\Rightarrow$ $T\left(\cos h\left(4x\right)\right)=\frac{2\mathrm{\pi i}}{4}$

$\Rightarrow$ $T\left(\cos h\left(4x\right)\right)=\frac{\mathrm{\pi i}}{2}$

Hence, option (C) is the correct option.