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  • 22-07-2017
  • Mathematics
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What is the sine value of [tex] \frac{5 \pi }{3} [/tex] ?

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Аноним Аноним
  • 22-07-2017
Find the value of [tex]sin( \frac{5 \pi }{3} )[/tex]

Rewrite as [tex]sin( \frac{6 \pi - \pi }{3} )[/tex]

[tex]sin( \frac{6}{3} \pi - \frac{ \pi }{3} ) [/tex]

[tex]sin(2 \pi - \frac{ \pi }{3} )[/tex]

since sin(π/3) = √3/2

and sin(π-α) = -sinα

α is sin(π/3) of course

[tex]-sin( \frac{ \pi }{3} )[/tex]

[tex]- \frac{ \sqrt{3} }{2} [/tex]
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