Question

if cosecA + cotA = q, show that cosecA - cotA = 1/q​

Answer 1

Here is the picture of the solution

Answer 2

Given cosec A + cot A = q

we know that,

${(cosec \: A - cot \: A)}^{2} = 1$

(cosecA + cotA) (cosecA - cotA) =1

q(cosecA-cot A ) =1

$cosec \: A - cot \: A = \frac{1}{q}$

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