Question #86d31

1 Answer
Mar 1, 2018

2 roots
#(7pi)/18; (11pi)/18

Explanation:

#sin 3x = - 1/2#
Trig table and unit circle give 2 solutions:
a. #3x = - pi/6#, or #3x = (11pi)/6# (co-terminal) -->
#x = (11pi)/18#,
b. #3x = pi - (-pi/6) = pi + pi/6 = (7pi)/6# -->
#x = (7pi)/18#