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Please prove the following and please do not send any links please.

Q7. If x = a cos^{2} $\mathrm{\theta}$, y = b sin^{3} $\mathrm{\theta}$, prove that ${\left(\frac{x}{a}\right)}^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}+{\left(\frac{y}{b}\right)}^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$ =1 .

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