From the figure (1) given below, find the values of: (i) sin θ (ii) cos θ (iii) tan θ (iv) cot θ (v) sec θ (vi) cosec θ

In right-angled triangle OMP, By Pythagoras theorem, we get ⇒ OP 2 = OM 2 + MP 2 ⇒ MP 2 = OP 2 - OM 2 ⇒ MP 2 = (15) 2 - (12) 2 ⇒ MP 2 = 225 - 144 ⇒ MP 2 = 81 ⇒ MP = = 9. (i) sin θ = = . Hence, sin θ = . (ii) cos θ = = . Hence, cos θ = . (iii) tan θ = = . Hence, tan θ = . (iv) cot θ = = . Hence, cot θ = . (v) sec θ = = . Hence, sec θ = . (vi) cosec θ = = . Hence, cosec θ = .