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