Question

Fundamental period of the function $f\left(x\right)=\cos \left(2\pi \left\{2x\right\}\right)$ is, where $\left\{x\right\}$ fractional part of $x$

• A. $1$
• B. $\frac{1}{2}$
• C. $2$
• D. $\frac{1}{4}$

Answer 1

Answer: (B)

$\frac{1}{2}$

Since period of $\left\{x\right\}$ is $1$

so period of $\left\{2x\right\}$ is $1/2$

Thus, period of $f\left(x\right)$ is$1/2$.