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Which of the following has the same value as cos 2pi/3

Which Of The Following Has The Same Value As Cos 2pi3 class=

Sagot :

First, let's calculate the value of cos 2pi/3:

[tex]\cos\frac{2\pi}{3}=-0.5[/tex]

Now, let's calculate the value of each option:

[tex]\begin{gathered} \cos\frac{\pi}{6}=0.866\\ \\ \\ \\ \cos\frac{4\pi}{3}=-0.5\\ \\ \\ \\ \sin\frac{5\pi}{3}=-0.866\\ \\ \\ \\ \sin\frac{7\pi}{6}=-0.5\\ \\ \\ \\ \cos\frac{11\pi}{6}=0.866 \end{gathered}[/tex]

Therefore the correct options are B and D.

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