SSC CPO 2023 PYQ — Question 144

SSC CPO - 05 Oct 2023 - Shift 1 • Quantitative Aptitude • Q144

If sin A = 32\sqrt {3} \over 2,then find the value of 2 (cosec A + cot A).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  2  32\;{ \sqrt 3}

Given that

sin A = 32\sqrt {3} \over 2

As we know,

sin 60° = 32\sqrt {3} \over 2

So, A = 60°

The value of 2 (cosec A + cot A)

⇒ 2 (cosec 60° + cot 60°)

⇒ 2 ( 23\ {2} \over \sqrt3 +  13\ {1} \over \sqrt3)

⇒  2  32\;{ \sqrt 3}