the period of the function F(z) = tan z is
a) π
b) 2π
c) π/2
d) π/3
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Given : f(z)=tan z
To Find : Period
a) π
b) 2π
c) π/2
d) π/3
Solution:
Period of a function is the interval at which function returning to the same value.
if p is the period of a function f(x)
=> f(x + p) = f(x)
Period of tanx is π
Period of tan ( ax) = π/a
Tan ax = Tan(a(x + π/a) = Tan(ax + π) = Tan ax
hence period of tan z = π
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