If x = a cos3 θ and y = b sin3 θ, prove that

Given: x = a cos3 θ

y = b sin3 θ


Consider L.H.S. =


=


= (cos3 θ)2/3 + (sin3 θ)2/3


= (cos2 θ + (sin2 θ)


= 1 = R.H.S.


Hence, proved.


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