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The function f (x) = k |cos x| + k² |sin x| + $ϕ$ (k) has period $\frac{π}{2}$ if k is equal to

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Since |sin x| + |cos x| is a periodic function with period π2 therefore period of f (x) will be π2 when k = 1.

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The function f (x) = k |cos x| + k2 |sin x| + ϕ(k) has period π2 if k is equal to

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The function f (x) = k |cos x| + k² |sin x| + $ϕ$ (k) has period $\frac{π}{2}$ if k is equal to