Question

if x = a cosec theta and y= b cot theta eliminate theta​

Answer 1

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Answer 2

Answer:

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

Step-by-step explanation:

Given,

$x=a cosec\theta\implies cosec \theta =\frac{x}{a}$

$y=b cot\theta\implies cot \theta = \frac{y}{b}$

We know that,

$cosec^2 \theta - cot^2 \theta = 1$

By substituting the values,

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

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