If `cos ec theta - sin theta = m and sec theta - cos theta = n,` then show that `(m ^(2) n ) ^(2//3) + (mn ^(2)) ^( 2//3) = 1.`

cos ^(2) 2 theta - sin ^(2) theta = cos theta . cos 3 theta.

sin^(3)theta + sin theta - sin theta cos^(2)theta =

If sintheta +cos theta =m and sec theta + cosec theta =n then n(m+1)(m-1) equals

Prove that : sec theta + cos theta != 3/2

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-n^2=4sqrt(mn)

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = sin theta .

If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasintheta=n , then prove that: (m+n)^(2//3)+(m-n)^(2//3)=2a^(2//3)

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .