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.