trigonometry

Question: If $x=a{{\cos }^{3}}\theta ,y=b{{\sin }^{3}}\theta ,$then

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

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

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

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

Solution:

Explanation: No Solution

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