" 30."quad (sin3 theta)/(1+2cos2 theta)=

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

Prove that sin theta=(sin3 theta)/(1+2cos2 theta) and hence deduce the value of sin15^(@)

Prove : (cos^2 theta)/(1-tan theta) + (sin^3 theta)/(sin theta-cos theta) = 1 + sin theta cos theta

Simplify ((1 + cos 2 theta + i sin 2 theta)/(1 + cos 2 theta - i sin 2 theta))^(30)

Prove that :(sin theta)/(cos(3 theta))+(sin3 theta)/(cos9 theta)+(sin9 theta)/(cos27 theta)=(1)/(2)(tan27 theta-tan 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

(cos^(2)theta(1-cos theta))/(sin^(2)theta(1-sin theta))=(1+sin theta)/(1+cos theta)

If k_(1)=tan27 theta-tan theta and k_(2)=(sin theta)/(cos3 theta)+(sin3 theta)/(cos9 theta)+(sin9 theta)/(cos27 theta)

The solution of (3sin theta-sin3 theta)/(1+cos theta)+(3cos theta+cos3 theta)/(1-sin theta)=4sqrt(2)cos(theta+(pi)/(4))