Eliminate 0 from the following : x = 6cosec θ,y = 8cot θ - Vidyadip

Question

Eliminate 0 from the following : x = 6cosec θ,y = 8cot θ

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Answer

$x=6 \operatorname{cosec} \theta$ and $y=8 \cot \theta$
$\therefore \operatorname{cosec} \theta=$ and $\cot \theta=$
We know that,
$\operatorname{cosec}^2 \theta-\cot ^2 \theta=$
$\therefore \quad\left(\frac{x}{6}\right)^2-\left(\frac{y}{8}\right)^2=1$
$\therefore \quad \frac{x^2}{36}-\frac{y^2}{64}=1$
$16 x^2-9 y^2=576$

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