Question

Find the period for f(x)=sin(2x-π)

Answer 1

as we have in general form
y = A*Sin[(2pi/T)*x + phi] ---->(1)

A = amplitude,
T = period,
phi a phase shift
now you have
y =sin(2x-π)----->(2)
comparing eq 1 and 2 we get
2pi/T = 2
T = 2pi/2
T = pi --> required period