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

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

If acos^(3)alpha+3cosalphasin^(2)alpha=m and asin^(3)alpha+3cos^(2)alphasinalpha=n , then (m+n)^(2//3)+(m-n)^(2//3)=?

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

If a cos^(3)alpha+3a cos alpha sin^(2)alpha=ma sin^(3)alpha+3a cos^(2)alpha sin alpha=n, then (m+n)^((2)/(3))+(m-n)^((2)/(3))=

If a cos^(3)alpha+3a cos alpha*sin alpha=m and a sin^(3)alpha+3a cos^(3)alpha sin^(3)alpha=n then (m+n)^((2)/(3))+(m-n)^((2)/(3))

If a cos^(3)alpha+3a cos alpha sin^(2)alpha=m and a sin^(3)alpha+3a cos^(2)alpha sin alpha=n. If (m+n)^((2)/(3))+(m-n)^((2)/(3))=2 lambda a^((2)/(3)) then find the value of lambda

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 m cos alpha-n sin alpha=p then prove that m sin alpha+n cos alpha=+-sqrt(m^(2)+n^(2)-p^(2))