Question

if sec A =25/7,calculate tan A and cosec A​

Answer 1

sec A = 25/7 = H/B

let H = 25k

B = 7k

Now,

By using Pythagoras Theorm

H² = B² + P²

⇒ (25k)² = (7k)² + P²

⇒ 625k² = 49k² + P²

⇒ 625k² - 49k² = P²

⇒ 576k² = P²

⇒ (24k)² = P²

∴ P = 24k

Tan A = P/B = 24k/7k

k got cancelled from both the sides so we get 24/7

Cosec A = H/P = 25k/24k

k got cancelled from both the sides so we get 25/24