Prove that `y = (4 sin theta)/((2 + cos theta)) - theta` is an increasing on `theta` in `[0, (pi)/2]`.

Prove that (sin 3 theta)/(1+2cos2 theta)=sin theta and hence find sin15^(@)

Prove that (sin 3 theta)/(1+2cos2 theta)=sin theta and hence find sin15^(@)

Prove that: (1-sin theta + cos theta)^(2) = 2(1+ cos theta) (1-sin theta) .

Prove that: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta

( sin theta - 2 sin ^ 3 theta ) / (2 cos ^ 3 theta - cos theta ) = tan theta

int_0^(2pi) theta sin^2 theta cos theta d theta is equal to :

If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .