Question

If sin ∅=1/3, then find the value of 2 cot∅+2

Answer 1

Hii friend,

Sin theta = 1/3 = P/H

P = 1 , H = 3 , P = ?

(H)² = (P)² + (B)²

(P)² = (H)² - (B)²

(P)² = (3)² - (1)²

P = 9-1 = ✓8.

Cot theta = B/P = 1/✓8

Therefore,

2Cot theta + 2 = 2×1/✓8 + 2 = 2/✓8 + 2 = 2+2✓8/✓8 = 2+2✓8/✓8× ✓8/✓8 = 2+2×8/8 = 32/8 = 4

Answer 2

hope it will help you....