How do you find two solutions of the equations #csctheta=(2sqrt3)/3#?

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How do you find two solutions of the equations #csctheta=(2sqrt3)/3#?

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Answer 1 · 2017-01-09T05:58:35

#pi/3 + 2kpi#
(#2pi)/3 + 2kpi#

Explanation:

#csc t = 1/(sin t) = (2sqrt3)/3# -->
#sin t = 3/(2sqrt3) = sqrt3/2#
Trig table and unit circle gives:
#t = pi/3#, and #t = (2pi)/3#
General answers:
#t = pi/3 + 2kpi#
#t = (2pi)/3 + 2kpi#

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How do you find two solutions of the equations #csctheta=(2sqrt3)/3#?

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