If `sintheta +costheta =p` then find `sin theta-costheta`

If A=[[costheta -sintheta], [[sintheta , costheta]]] , then find the values of theta satisfying the equation A^T+A=I_2 .

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

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

If sintheta +costheta =1 , then the value of sin2theta is equal to

Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : sintheta + costheta = 12 sintheta} be two sets. Then:

If sintheta+costheta=1 , then the value of sin2theta is

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

The distance between the points (costheta,sintheta) and (sintheta,-costheta) is

Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(sintheta+costheta)