Question

It cosecQ +cotQ =x find the value of cosecQ - cotQ

Answer 1

Answer:

cosecQ - cotQ = 1/x

Step-by-step explanation:

Given,

cosecQ + cotQ = x

cosecQ - cotQ = ?

Now,

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cosecQ^2 - cotQ^2 = 1

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(cosecQ + cotQ)(cosecQ - cotQ) = 1

[Since, a^2 - b^2 = (cosecQ+cotQ)(cosecQ-cotQ) formula]

=(x) (cosecQ - cotQ) = 1

= cosecQ - cotQ = 1/x

:.cosecQ - cotQ = 1/x

Hope it Helps!

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