If x - a cos 3 - and y- b sin 3 - prove that x-a 2-3- y-b 2-3- 1

(x/a )^2/3+ (y/b )^2/3 = (cos^3 θ)^2/3 + (sin^3 θ)^2/3 = cos^2 θ + sin^2 θ = 1 ...

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Trigonometric Identities

If x = a cos ...

Question

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

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

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

x = {a c o s}^{3} θ

y = {a s i n}^{3} θ

\frac{d y}{d x} = \sqrt[3]{\frac{y}{x}}

x = a {cos}^{3} θ

y = a {sin}^{3} θ

y^{1} = - \sqrt[3]{\frac{y}{x}}

x = a {cos}^{3} θ

{sin}^{3} θ,

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

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