Question

If cosecA+cotA=x,
find cosecA-cotA
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Answer 1

we know that : cot² a + 1 = cosec² a

⇒cosec² a - cot²a = 1

⇒(cosec a - cot a) * (cosec a + cota) = 1

⇒(cosec a - cot a) * x = 1

⇒cosec a - cot a = 1/x

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Answer 2

Step-by-step explanation:

cosec^2A-cot^2A=1

it's in the form a^2-b^2=(a+b)(a-b)

by using this formula we can write

(cosec a+cota)(cosec a- cota)=1

(cosec a-cot a)=1/cosec a+cot a

cosec a-cot a=1/x [ from question cosec a+cota=x]

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