Question

Find the period of the function: |sin x|

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|

Let f(x) = |sinx|

Let us consider T in such a way that, f(x) = f(x + T)

e.g., |sinx| = |sin(x + T)| this will be correct only when T = π

so, period of |sinx| is π

see graph of |sinx| , here you can see that function is returning to the same value at regular interval of π.