SarkariPYQ

SSC CPO 2022 PYQ — Question 139

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q139

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The value of sinAcotA+cosecAsin A \over cotA + cosecA - sinAcotA−cosecAsin A \over cotA - cosecA + 1 is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 3.

  sinAcotA+cosecAsin A \over cotA + cosecA - sinAcotA−cosecAsin A \over cotA - cosecA + 1

= sinAcotA−sinA×cosecA−sinAcotA−sinA×cosecAcot2A−cosec2A\frac{sinAcotA-sinA\times cosecA-sinAcotA-sinA\times cosecA}{cot^2A-cosec^2A} + 1

= (-2/-1) + 1

= 3