Question

eliminate theta from the equations x=cot theta +cos theta ,y=cot theta -cos theta​

Answer 1

hope it helps u !!

refer the attachment attached !

Answer 2

/* There is mistake in the question. It may be like this */

$Given \: x = cot \theta + cosec \theta \: --(1)$

$y = cot \theta - cosec \theta \: --(2)$

/* Multiplying equation (1) and equation (2) , we get */

$\implies xy = (cot \theta + cosec \theta)(cot \theta - cosec \theta)$

$\implies xy = cot^{2} \theta - cosec^{2} \theta$

/* By Trigonometric Identity : */

$\boxed{\pink { Cot^{2} \theta - Cosec^{2} \theta = 1 }}$

$\implies xy = 1 \blue {( \theta \: eliminated ) }$

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