SarkariPYQ

SSC CHSL 2023 PYQ — Question 58

SSC CHSL 2023 - 03 Aug 2023 - Shift 3 • Quantitative Aptitude • Q58

Back to paper

The given expression is equal to:

(1+tan2A)cosec2A.tanA\frac{(1+tan^2A)}{cosec^2 A.tanA}

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. tan A

Given that

⇒ (1+tan2A)cosec2A.tanA\frac{(1+tan^2A)}{cosec^2 A.tanA}

⇒ (sec2A)(sin2A)tanA\frac{(sec^2A)(sin^2A)}{tanA}

⇒ (sin2A)tanA(cos2A)\frac{(sin^2A)}{tanA(cos^2A)}

⇒ (tan2A)tanA\frac{(tan^2A)}{tanA}

⇒ tan A