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The period of sin^(2)x , is...

The period of ` sin^(2)x` , is

A

`2pi `

B

`pi`

C

`(pi)/(2)`

D

`4pi`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`f(x)=sin^(2)x=(1-cos2x)/(2)=(1)/(2)-(1)/(2) cos 2x `
Also, cos x is periodic with period ` 2 pi ` .
` :. sin^(2)x ` is periodic with period ` (2pi)/(2)=pi`
Note : ` cos^(2)x` is also periodic with period `pi`.
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