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.
cloudfront.com
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^@#