If `sintheta=1/2`, show that `(3costheta - 4cos^3theta)=0`

If sectheta=(13)/5 , show that (2sintheta-3costheta)/(4sintheta-9costheta)=3

If sectheta=13/5 , show that (2sintheta-3costheta)/(4sintheta-9costheta)=3

If 21 tan theta= 20 , show that (1-sintheta+costheta)/(1+sintheta+costheta)=3/7

If 3sintheta+4costheta=5, then show that 4sintheta-3costheta=0.

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

If sintheta - costheta = 0 , then sin^4theta - cos^4theta = ?

For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

If sintheta-costheta=3^(1/2) , then the value of sin^3theta-cos^3theta is __________ .

If sintheta + cos theta =1 , then the value of sintheta - costheta is:

If A = [(sintheta ,- costheta), (costheta, sintheta)] and B = [(costheta , sin theta),(-sintheta, cos theta)] . Compute (sin theta) A + (cos theta) B.