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SSC CHSL 2023 PYQ — Question 58

SSC CHSL - 09 March 2023 - Shift 2 • Quantitative Aptitude • Q58

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If cos B=59cos\,B = \frac{5}{9}, then whatis the value of cosec B?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 9214\frac{9}{2\sqrt{14}}.

sin2B = 1 - cos2B = 1 - 25/81 = 56/81

⇒ sin B = √(56/81) = (2√14)/9

⇒ cosec B = 1/(2√14/9) = 9/(2√14)