Question #46d1d

1 Answer
Nghi N
Jun 12, 2017

#sqrt3/2, 1/2#

Explanation:

Find #arcsin (sqrt3/2)#
Use trig table and unit circle -->
#sin x = sqrt3/2# --> 2 solutions -->
#x1 = pi/3# and #x2 = (2pi)/3#
There are 2 answers:
a. #cos ((x1)/2) = cos (pi/6) = sqrt3/2#
b. #cos ((x2)/2) = cos ((2pi)/6) = cos (pi/3) = 1/2#

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