Question #6b956

1 Answer
Feb 12, 2018

#x = (3pi)/5#

Explanation:

sin x = 0.95
Calculator and unit circle give 2 solutions:
#x = 71^@80#, and
#x = 180 - 71.80 = 108^@20#
The interval #((7pi)/2, (13pi)/12)# can be converted to interval
#(105^@, 195^@)#
The answer in this interval is -->
#x = 108^@20# or, in radian:
#x = (pi/180)(108.20) = 0.6pi#, or
#x = (6pi)/10 = (3pi)/5#