How do you find the value of #csc ((5pi)/3)#?

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How do you find the value of #csc ((5pi)/3)#?

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Answer 1 · 2016-03-28T05:25:53

#- (2sqrt3)/3#

Explanation:

#csc ((5pi)/3) = 1/(sin ((5pi)/3)#
Find #sin ((5pi)/3).#
#sin ((5pi)/3) = sin (-pi/3 + 2pi) = sin (-pi/3) =#
#= - sin (pi/3) = - sqrt3/2#
Therefor,
#csc ((5pi)/3) = 1/(sin) = - 2/sqrt3 = - (2sqrt3)/3#

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How do you find the value of #csc ((5pi)/3)#?

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