If `sintheta=sinalpha`, then

The most general solution of theta satisfying the equations sintheta=sinalpha and costheta=cosalpha is

Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+cos2(theta+alpha) The value of f(pi/3,pi/4) is

If sintheta+sin2theta+sin3theta=sinalpha and costheta+cos2theta+cos3theta=cosalpha , then theta is equal to

The value of the determinant |{:(cos(theta+alpha),-sin(theta+alpha),cos2alpha),(sintheta,costheta,sinalpha),(-costheta,sintheta,lambdacosalpha):}| is

The value of the determinant |{:(cos(theta+alpha),-sin(theta+alpha),cos2alpha),(sintheta,costheta,sinalpha),(-costheta,sintheta,lambdacosalpha):}| is

The value of the determinant |{:(cos(theta+alpha),-sin(theta+alpha),cos2alpha),(sintheta,costheta,sinalpha),(-costheta,sintheta,lambdacosalpha):}| is

If 12 sintheta-9sin^2theta attains its maximum value at theta=alpha , then write the value of sinalpha .

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then sinalpha+cosalpha and sinalpha-cosalpha is equal to

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then sinalpha+cosalphaandsinalpha-cosalpha are equal to

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then prove that sqrt2(costheta) =cosalpha+sinalpha