Question

How to find the value of x where `0<=x<=360^@` for `csc x= -1.3737`?

Answer 1

`csc x = 1/sin x = -1.3737` -> `sin x = 1/-1.3737 = -0.728`

On the trig unit circle:

-0.728 -> x = -46.71 or x = 360 - 46.71 = 313.29 deg

x = 180 + 46.71 = 226.71.

Within period`(0, 2pi)`, there are 2 answers:

x = 226.71 and x = 313. 29 deg