Question

Eliminate between the given equations
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Answer 1

Answer:

$\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1$

Step-by-step explanation:

• Rearrange the given values to get;

1. $\frac{x}{a} =$ cosecθ
2. $\frac{y}{b} =$ cotθ

Squaring both of them and subtracting

L.H.S= $\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }$

R.H.S= cosec²θ-cot²θ= 1 {from identity}

⇒ $\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1$