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Multiple Choice Questions
1. (1 + sinA)/(1 - sinA) is equal to?
(A): (cosecA - 1)/(cosecA + 1)
(B): (cosecA + 1)/(cosecA - 1)
(C): (secA + 1)/(secA - 1)
(D): (secA - 1)/(secA + 1)
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By: anil on 05 May 2019 02.18 am
Expression : $$frac{1 + sin A}{1 - sin A}$$ Replacing $$sin A$$ by $$frac{1}{cosec A}$$
= $$frac{1 + frac{1}{cosec A}}{1 - frac{1}{cosec A}}$$ = $$frac{frac{1 + cosec A}{cosec A}}{frac{cosec A - 1}{cosec A}}$$ = $$frac{cosec A + 1}{cosec A - 1}$$ => Ans - (B)
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SSC CHSL 8 Jan 2017 Morning Shift
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= $$frac{1 + frac{1}{cosec A}}{1 - frac{1}{cosec A}}$$ = $$frac{frac{1 + cosec A}{cosec A}}{frac{cosec A - 1}{cosec A}}$$ = $$frac{cosec A + 1}{cosec A - 1}$$ => Ans - (B)