Question

Find out whether the following equation is periodic or not and find its time period.

Y=sinwt - coswt

Answer 1

Y =sinwt- coswt
=root2 {1/root2. sinwt-1/root2. coswt}
=root2{cospi/4.sinwt-sinpi/4.coswt}
=root2.sin(wt-pi/4)
here we see y=sinwt -coswt converted
y=root2sin (wt-pi/4)
because this is periodic hence above equation is also periodic
and their period is 2pi/w