Question #57bde

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Question #57bde

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Answer 1 · 2017-02-17T23:27:14

#(7pi)/6 + 2kpi#
#(11pi)/6 + 2kpi#

Explanation:

#sin^-2 (1/2) --> arcsin (-1/2)#
Trig table of special arcs and unit circle give:
#sin x = - 1/2# --> arc #x = - pi/6 + 2kpi# and
arc #x = pi + pi/6 = (7pi)/6 + 2kpi#
Because the arc #pi/6# is co-terminal to #(11pi)/6#, then, the answers are:
#x = (7pi)/6 + 2kpi#
#x = (11pi)/6 + 2kpi#

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Question #57bde

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