SSC CHSL 2023 PYQ — Question 62

SSC CHSL 2023 - 02 Aug 2023 - Shift 4 • Quantitative Aptitude • Q62

If cos A=6365A=\frac{63}{65} , then find the value of tan A + cot A (up to two places of decimal).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4.19.

Given that

If cos A=6365A=\frac{63}{65},

the value of tan A + cot A

 cos A=6365A=\frac{63}{65} = B/H

By Pythagoras theorem

⇒ B² + P² = H²

⇒ P2 = 652 - 632 = 256

⇒ P = 16

Hence, tan A + cot A = P/B + B/P = 16/63 + 63/16 = 4.19