Prove the following trigonometric identities-If x-a cos 3- y-b sin 3- prove that x a 2 - 3-y b 2 - 3-1

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Complementary Trigonometric Ratios

Prove the fol...

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Prove the following trigonometric identities.

If x = a cos³ θ, y = b sin³ θ, prove that ${(\frac{x}{a})}^{2 / 3} + {(\frac{y}{b})}^{2 / 3} = 1$

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{(\frac{x}{a})}^{2 / 3} + {(\frac{y}{b})}^{2 / 3} = 1 .

If $x = a c o s^{3} θ$ and $y = b s i n^{3} θ$ , prove that ${(\frac{x}{a})}^{\frac{2}{3}} + {(\frac{y}{b})}^{\frac{2}{3}} = 1$

\frac{x}{a} \cos θ + \frac{y}{b} \sin θ = 1 and \frac{x}{a} \sin θ - \frac{y}{b} \cos θ = 1, prove that \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 2

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