How do you find the exact value of $\frac{sin (5 π)}{3}$ $sin (5pi)/3$ ?

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Answer 1 · 2015-09-25T17:53:07

0 for $\frac{sin (5 π)}{3}$ $sin(5pi)/3$ and $- \frac{\sqrt{3}}{2}$ $-(sqrt3)/2$ for $sin((5π)/3)$

$sin(5pi)/3=0/3=0$

as $sin(kpi)=0$ for all integer values of k

For $sin((5π)/3)$ ,

$sin((5π)/3)=sin((6π-π)/3)$
$=sin(2π-π/3)$
$=-sin(π/3)$
$=-sqrt3/2$

How do you find the exact value of sin (5pi)/3sin(5π)3sin (5pi)/3?