Now 8Cos(pi/8) and 8sin(pi/8) is a constant term added to your time varying signal...its a DC..so you do not need to worry about it much....Using the formula sin (A+B) = sinAcosB+cosAsinB I am able to reduce the equation to
(8 cos (pi/8) ) sin( 8(pi)t ) + (8 sin (pi)/8 )cos( 8(pi)t )
Now I do not know how to do the fourier transform or what equation to use. pls help