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JEE MainMathematicsToughFunctions

The period of the function f(x)
=∣sinx∣+∣cosx∣∣sinx−cosx∣= \frac{|sinx| + |cosx|}{|sinx - cosx|} is.

Show answer and solution
When T=π/2T = \pi/2 then Dr→cosx+sinx⇒π/2D^{r} \rightarrow cosx + sinx \Rightarrow \pi/2 can
not be the period

Source: Grass-G / M-18 Mathematics Paper 27 Nov Third.docx

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