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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