`sin(3theta+alpha)+sin(3theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cosalpha`

sin(3 theta+alpha)+sin(3 theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cos alpha

if sin(theta+alpha)=cos(theta+alpha) then tan alpha

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

cos ( theta + alpha)* cos ( theta - alpha) + sin ( theta + alpha) * sin (theta - alpha )=

Simplify be reducing to a single term : cos (theta + alpha ) cos ( theta - alpha ) - sin ( theta + alpha ) sin (theta - alpha).

If sin(theta+alpha)=n sin(theta-alpha) , prove that cot theta=(n-1)/(n+1) cot alpha .

Prove that : 2 sin^2 theta + 4 cos (theta + alpha) sin alpha sin theta + cos 2 (alpha + theta) is independent of theta.

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)