If `(sec^4theta)/a+(tan^4theta)/b=1/(a+b),` then prove that `|b|lt=|a|` .

Solve sqrt(2) sec theta+tan theta=1 .

IF tan ( theta/2) = (2)/(3) , then sec theta =

If tan theta = 1 , then sec theta = …….

If sec theta + tan theta = k, cos theta =

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

(sec theta+ tan theta)(sec theta-tan theta) =____.

If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3) , then prove that a^(2)b^(2)(a^(2) + b^(2))= 1.

In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then prove that cottheta=cot A+cot B+cotCdot

If tan a theta-tan b theta=0 , then prove that the values of theta forms an A.P.

If tan theta tan phi=sqrt((a-b)/(a+b)) , prove that a-bcos 2theta)(a-b cos 2phi) is independent of theta and phi .