FunctionHard

Question

The period of the function f(x) = sin4 3x + cos4 3x is:

Options

A.p/6
B.π/3
C.π/2
D.π/12

Solution

f(x) = sin4 3x + cos4 3x
period    = L.C.M.
For fundamental period
= sin4 + cos4
= cos4 3x + sin4 3x = f(x)
fundamental period = π/6

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