Question

What is the period of the function $f\left(x\right)=3{\sin }^2(2x+\pi /4)$?

• A. $4Pi$
• B. $3Pi$
• C. $Pi$
• D. $Pi/2$
• E. $Pi/3$

Answer 1

The correct option is D $Pi/2$

Given $f\left(x\right)=3{\sin }^2(2x+\pi /4)$
The period of ${\sin }^{2}x$ is $\pi$ .

So the period of ${\sin }^{2}2x$ is $\pi /2$
Which implies, the period of ${\sin }^{2}2x+\pi /4$ is also $\pi /2$

Therefore the correct option is $D$