Question

If cosec $\theta =\sqrt{10}$, find the values of all T - ratios of $\theta$

Answer 1

Cosec theta = √10/1 = H/P

H = √10 , P = 1

By pythagoras theroem,

(H)² = (B)² + (P)²

(B)² = (H)²-(P)²

(B)² = (√10)² - (1)²

(B)² = 10-1 => 9

B = √9 = 3


Therefore,

Sin$\theta$ = P/H = 1/√10

Cos$\theta$ = B/H = 3/√10

Tan$\theta$ = P/B = 1/3

Cot$\theta$ = B/P = 3/1

Sec$\theta$ = H/B = √10/3

Cosec$\theta$ = H/P = √10/1