Question

How do you find the value of `csc (sin (2/3))`?

Answer 1

Find the value of csc (arcsin (2/3))

Explanation:

`sin x = 2/3` --> x ?

`sin x = 2/3 = 0.67` --> `x = 41.81` and x = 180 - 41.81 =`138.19`

a. `csc (41.81) = 1/sin (41.81)` = `1/0.67 = 1.49` (Quadrant I)

b. `csc (138.19) = csc (-41.81) = 1/sin (-41.81)` =

`= 1/-0.67` = -1.49 (Quadrant II)