If sec A = 17over15 , then what is the value of cot A?

If sec A = $17\over15$ , then what is the value of cot A?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. $15\over8$ .

sec A = $17\over15$ = $H \over B$

By Pythagoras theorem,

H² = B² + P²

here, H = Hypotaneous, B = Base, P = Perpendicular

⇒ 17² = 15² + P²

⇒ P² = 64

⇒ P = 8

The value of cotA = $B \over P$ = $15 \over 8$

SSC CHSL 2023 PYQ — Question 54