Question

If cosec theta = a and y cot theta = b,
prove that :
$\frac{ {a}^{2} }{ {x}^{2} } - \frac{ {b}^{2} }{y {}^{2} } = 1$
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Answer 1

step by step explain

according to formula -

cosec2 teta - cot 2 teta = 1

so, as per given

cosec teta =a/x

cot teta =y/b

as per formula

{a/x}2 - {b/y}2 = 1

a2/x2 - b2/y2 =1