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

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Solution:  We have , 

                   f(x)=left | sin x ight |+left | cos x ight |

                left | sin x ight |  has period  pi,  left | cos x ight | has period pi,

            Here  ,     f(x)  is even , thus period of 

            herefore     Period of f(x) = frac12   (  LCM of  pi and pi)=fracpi2.        

Posted by

Deependra Verma

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