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  • Find the period of f(x)=|sinx|+|cosx| .

Find the period of f(x)=|sinx|+|cosx| .

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Solution: left | sinx ight | has  period pi ,and left | cosx ight | has period pi.

Here,f(x) is an even function and sinx ,cosx are complementary.

Thus,             Period of f(x) =1/2[LCM hspace0.2cmofhspace0.2cmpi ,pi ]=pi /2

Thus , period for f(x) is pi /2.

Posted by

Deependra Verma

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