Question #84c2f

2 Answers
Jan 11, 2018

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.
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Hope it helps you

Jan 12, 2018

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^@