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

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)

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

If a cos^3theta +3a cos theta sin^2theta =x and asin^3theta+3a cos^2theta sin theta=y prove that (x+y)^(2/3)+(x-y)^(2/3)=2a^(2/3)

If a cos^(2)theta+3a cos theta sin^(2)theta=m and a sin^(3)theta+3a cos^(2)theta sin theta=n ,then prove that: (m+n)^(2/3)+(m-n)^(2/3)=2a^(2/3)

If c cos^(3)theta+3c cos theta sin^(2)theta=m and c sin^(3)theta+3c cos^(2)theta sin theta=n , then prove that (m+n)^((2)/(3))+(m-n)^((2)/(3))=2c^((2)/(3)).

If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) theta + 3 a Cos^(2) theta Sin theta then (m+n)^(2//3) + (m-n)^(2//3) =

If cosec theta- sin theta = m and sec theta - cos theta = n , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=1 .

If " cosec"theta-sin theta=m and sec theta-cos theta=n , then prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1.

If cos ec theta-sin theta=m and sec theta-cos theta=n prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1

If acos^3alpha+3acosalphasin^2alpha=m and asin^3alpha+3acos^2alphasinalpha=n then (m+n)^(2/3)+(m-n)^(2/3)=