Question

What is the sine value of ac{5 \pi }{3} " alt=" \frac{5 \pi }{3} " align="absmiddle" class="latex-formula"> ?

Answer 1

Find the value of $sin( \frac{5 \pi }{3} )$

Rewrite as $sin( \frac{6 \pi - \pi }{3} )$

$sin( \frac{6}{3} \pi - \frac{ \pi }{3} )$

$sin(2 \pi - \frac{ \pi }{3} )$

since sin(π/3) = √3/2

and sin(π-α) = -sinα

α is sin(π/3) of course

$-sin( \frac{ \pi }{3} )$

$- \frac{ \sqrt{3} }{2}$