Question

Find the period of the function f(x)=tan5x

Answer 1

Periodic function is a special type of function in which, function returning to the same value at regular intervals. for any function y = f(x) , T will be period only when f(x) = f(x + T).

we know , if period of function y = f(x) is T then period of function y = f(ax ± b) will be T/|a|

period of tanx = π

so, period of tan5x = π/5

hence, period of function, tan5x is π/5.

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Answer 2

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