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Question

Question: The period of the function \(f(x) = \sin^{2}x\) is...

The period of the function f(x)=sin2xf(x) = \sin^{2}x is

A

π2\frac{\pi}{2}

B

π\pi

C

2π2\pi

D

None of these

Answer

π\pi

Explanation

Solution

sin2x=1cos2x2\sin^{2}x = \frac{1 - \cos 2x}{2}⇒ Period =2π2=π.= \frac{2\pi}{2} = \pi.