If cosec@- cot@=1/4, then find the value of cosec@+ cot@.

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Solution

Dear student
$G i v e n : \cos e c A - co t A = \frac{1}{4} . . (1) W e k n o w t h a t \cos e c^{2} A - c o t^{2} A = 1 \Rightarrow (\cos e c A + c o t A) (\cos e c A - c o t A) = 1 \Rightarrow (\cos e c A + c o t A) (\frac{1}{4}) = 1 \Rightarrow \cos e c A + c o t A = 4$
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