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Question

Question: Period of \|sin 2x\| + \|cos 8x\| is:...

Period of |sin 2x| + |cos 8x| is:

A

π/2

B

π/8

C

π/16

D

None of these

Answer

π/2

Explanation

Solution

Clearly period of |sin 2x| = π/2 and period of |cos 8x|

= π/8.

Now L.C.M. (π/8, π/2) = π/2 ⇒ Period of the given function is π/2