" 30."quad " Prove that "0=(pi)/(3)" On "sin theta(1+cos theta)" Is great. "

Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan theta

Prove that sin (30^(@) + theta) + cos (60^(@) + theta) = cos theta

Prove that (1)/(2){(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)}=(1)/(sin theta)

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

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

If 8 theta=pi , prove that cos theta+ cos 7 theta=0 .

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

Prove that (1+cos theta)/(sin theta)=(1+sin theta+cos theta)/(1+sin theta-cos theta) .

Prove that (Sin theta)/(1-cos theta)=cosec theta+cot theta OR Prove that (Sin theta - 2 Sin^(3) theta)/(2cos^(3)theta-cos theta)=tan theta

Solve : sin 3theta = cos 3theta (0 < theta < pi)