Question

Hey Mates !

$x = a \: cosec \: and \: y = a \cot \: then \: find \: {x}^{2} - {y}^{2}$


Explanation needed.

Answer 1

$= {a}^{2}$

Answer 2

$Hey \: There \:$‼
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$We \: have$,
$x = a \: cosec$
$and \: y = a \: cot$

$Now \: {x}^{2} - {y}^{2}$
$= {(a \: cosec)}^{2} - {(a \: cot)}^{2}$
$= {a}^{2} {cosec}^{2} - {a}^{2} {cot}^{2}$
$= {a}^{2} ( {cosec}^{2} - {cot}^{2} )$
$= {a}^{2} \times 1$
$= {a}^{2}$
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$Hope\:my\:ans.'s\:satisfactory.$ (^-^)