If `tan theta+sin theta =m` and `tan theta-sin theta=n`,then show that `m^2-n^2=4sqrt(mn)`.

Solve sin 2theta+sin 4 theta+sin 6 theta=0 .

If a cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

If tan theta =3/4 , find the value of cos^2 theta - sin^2 theta .

Solve tan theta+tan 2 theta+tan 3theta=tan theta.tan 2theta.tan 3 theta .

Solve : 4sinthetasin2thetasin4theta=sin3theta

Find 1\(tan^2 theta) -1/(sin^2 theta) . .

If alpha and beta are the solution of the equation a tan theta +b sec theta=c ,then show that tan(alpha+beta)=2ac/(a^2-c^2)

If tan theta = 3/4 , proved that sin^2 theta+cos^2 theta is 1.

If tan 2 theta = cot (theta - 18°), then the value of theta.

If A = [[cos theta, sin theta],[-sin theta, cos theta]] , then what is A^(-1) ?