find the period of f(x)=sinx+cosx
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f(x ) = sinx +cosx
period of sinx = 2π
period of cosx = 2π
we know, if two functions let f(x) and g(x) have periodic which period T1 and T2
then, period of f(x) + g(x) = LCM of { T1 , T2}
so,
period of f(x) =sinx + cosx = LCM of { 2π, 2π} = 2π
period of sinx = 2π
period of cosx = 2π
we know, if two functions let f(x) and g(x) have periodic which period T1 and T2
then, period of f(x) + g(x) = LCM of { T1 , T2}
so,
period of f(x) =sinx + cosx = LCM of { 2π, 2π} = 2π
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