what is csc (theta)= 2

Question

find all angles that satify the question

Answer 1

csc(θ)=2; sin(θ)=1/csc(θ)=½.

θ=π/6+2πn or 5π/6+2πn radians, where n is an integer.

θ=30°+360n° or 150°+360n°. 30° and 150° are supplementary angles (add up to 180°).

(The sine of an angle and its supplement are the same.)