kanest
kanest kanest
  • 01-10-2018
  • Mathematics
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[Precalculus] Find the value of sin(x/2):

Precalculus Find the value of sinx2 class=

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sqdancefan
sqdancefan sqdancefan
  • 01-10-2018

Put your number into the half-angle formula and simplify.

[tex]\displaystyle\sin{\frac{\theta}{2}}=\pm\sqrt{\frac{1-\cos{\theta}}{2}}=\sqrt{\frac{1-\frac{1}{3}}{2}}\\\\=\sqrt{\frac{1}{3}}=\sqrt{\frac{3}{9}}\\\\=\frac{\sqrt{3}}{3}[/tex]

The appropriate selection is ...

[tex]A)\quad\dfrac{\sqrt{3}}{3}[/tex]

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