`sin(theta/4)*sin((3theta)/4)=?`

Prove that sin theta+sin2 theta+sin4 theta+sin5 theta=4cos((theta)/(2))cos((3 theta)/(2))sin3 theta

If sin theta,tan theta,cos theta are in G.P.then 4sin^(2)theta-3sin^(4)theta+sin^(6)theta=?

Prove that: sin theta cos^(3)theta-cos theta sin^(3)theta=(1)/(4)sin4 theta

Find number of solutions of equation sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1), theta in [0, 6pi] .

Prove that 4sin theta sin((pi)/(3)+theta)sin((2 pi)/(3)+theta)=sin3 theta

Prove that: 4sin theta sin(theta+(pi)/(3))sin(theta+(2 pi)/(3))=sin3 theta

cos^(3)theta*sin3 theta+sin^(3)theta*cos3 theta=(3)/(4)sin4 theta

Taking theta=30^(@) , verify each of the following (i) sin 3theta=3sin theta -4sin^(3) theta (ii) cos3 theta=4cos^(3)theta-3cos theta

Prove that sin theta sin(60^(@)-theta) sin(60^(@)+theta)=1/4 sin3theta .

sin theta+sin((2 pi)/(3)+theta)+sin((4 pi)/(3)+theta)=0