Question

Angle θ is in standard position. The terminal side of the angle passes through the point (5/13,12/13 ) on the unit circle. Find cscθ.

Answer 1

cscФ = 13/12

Explanation:

∵ The terminal side of the angle Ф passes through point (5/13 , 12/13)

∵ x = 5/13 and y = 12/13

∵ x = cosФ and y = sinФ

∴ cosФ = 5/13

∴ sinФ = 12/13

∵ cscФ = 1/sinФ

∴ cscФ = 1 ÷ 12/13 = 13/12