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Ther period of the function f(x) =(|s...

Ther period of the function
`f(x) =(|sin x|-|cosx|)/(|sin x + cos x|)` is

A

`(pi)/(2)`

B

`2pi`

C

`pi`

D

None of these

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The correct Answer is:
3
Slove by option period `=pi`
`f(pi +x) =(|sin(pi +x) |-|cos (pi + x)|)/(|sin (pi +x) + cos(pi +x)|)`
`= (|sin x |-|-cos x|)/(|sin x-cos x|)`
`=(|sin x |-|cos|)/(|sinx + cos x|)`
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