If `asin^2theta+bcos^2theta=m, bsin^2phi+acos^2phi=n, atantheta=btanphi`, then which of the following is true?

If cos^2 theta- sin^2 theta = tan^2 phi then which of the following is true ?

Eliminate theta and phi if asin^(2)theta + bcos^(2)theta = m, bsin^(2) phi + acos^(2)phi =n and atan theta = btanphi

If atantheta =b ,then acos 2theta+b sin2 theta=

If a tan theta=b , then acos2theta+bsin2theta=?

If cos^2theta- sin^2theta= tan^2 phi , then prove that cos^2phi – sin^2phi= tan^2theta

If tantheta=b/a Show that acos2theta+bsin2theta=a

cos2thetacos2phi+sin^2(theta-phi)-sin^2(theta+phi)=

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)