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Time period of f(x) = |sin x| + |cos x| ...

Time period of f(x) = |sin x| + |cos x| is :

Text Solution

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`f_1(x)=T_1,f_2(x)=T_2`
`f_1(x)+f_2(x)=L.C.M of (T_1,t_2)`
`T(|sinx|)=pi`
`T(|cosx|)=pi`
`T(|sinx|+|cosx|)=L.C.M(pi,pi)=pi`.
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