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Questions  

π is the period of the function

a
|sin x| + |cos x|
b
sin4x + cos4x
c
sin (sin x) + sin (cos x)
d
1+2cos⁡xsin⁡x(2+sec⁡x)

detailed solution

Correct option is D

The period of |sin x| + |cos x| and sin4x + cos4x is π2. sin (sin x) + sin (cos x) has period 2π. The function 1+2cos⁡xsin⁡x(2+sec⁡x) can be written in a simplified form as cos⁡xsin⁡x=cot⁡x, so it has period π.

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