First slide

Functions (XII)

Question

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

Moderate

A

1
B

2
C

3
D

None of these

Solution

Since |sin x| + |cos x| is a periodic function with period $\frac{π}{2}$ therefore period of f (x) will be $\frac{π}{2}$ when k = 1.

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