FunctionHard
Question
Fundamental period of f(x) = sec (sin x) is
Options
A.π/2
B.2π
C.π
D.aperiodic
Solution
f(x) = sec (sin x)
Since sin x is a periodic function with fundamental period 2π. f(x) has a period 2π
for fundamental period
f(x + π) = sec (sin (π + x)) = sec (-sin x) = sec (sin x) = f(x)
f
≠ f(x) hence fundamental period is π
Since sin x is a periodic function with fundamental period 2π. f(x) has a period 2π
for fundamental period
f(x + π) = sec (sin (π + x)) = sec (-sin x) = sec (sin x) = f(x)
f
≠ f(x) hence fundamental period is πCreate a free account to view solution
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