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Question

If cosecA - cotA=1/3,the value of(cosecA+cotA) is

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Solution

Given,

cosec A - cot A= 1/3

we know that, cosec square A - cot square A = 1

(cosec A - cot A) (Cosec A + cot A) =1 [ using a^2-b^2=(a-b)(a+b)]

(1/3) (cosec A +cot A) =1

cosec A + cot A= 1 X 3 = 3

Thus, the value of cosec A + cot A is 3


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