" iv) "quad m=a cos^(3)alpha+3a cos alpha sin^(2)alpha,n=a sin^(3)alpha+3a sin alpha cos^(2)alpha[" Ans "

If a cos^(3)alpha+3a cos alpha sin^(2)alpha=m and a sin^(2)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^(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^(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 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))

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

(cos ^(3) alpha - cos 3 alpha )/( cos alpha ) + (sin ^(3)alpha + sin 3 alpha )/( sin alpha ) = 3.

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

Calculate the value of (sin^(6)alpha +cos^(6) alpha + 3sin^(2) alpha cos^(2) alpha).

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

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)