Question

Question #84c2f

Answer 1

x=30° or 150°

Explanation:

`2cscx - 2 = cscx`
`2cscx - cscx = 2`
`cscx = 2`
This is possible when x is either 30° or 150°
The image below shows sine and cosine functions for different angles.

Hope it helps you

Answer 2

`30^@, and 150^@`

Explanation:

2csc x - 2 = csc x
csc x = 2
`sin x = 1/(csc x) = 1/2`
Trig table and unit circle give 2 solutions:
`x = pi/6, or x = 30^@`, and and `x = (5pi)/6, or x = 150^@`