Determine the value of $ cosleft(frac{7pi}{6}
ight) $ using the unit circle
Answer 1
Lily Perez
To determine the value of $ \cos\left(\frac{7\pi}{6}\right) $ using the unit circle, we need to locate the angle $ \frac{7\pi}{6} $ in radians. This angle is in the third quadrant.
In the third quadrant, the cosine function is negative. The reference angle for $ \frac{7\pi}{6} $ is $ \frac{\pi}{6} $, whose cosine value is $ \frac{\sqrt{3}}{2} $.
Thus, $ \cos\left(\frac{7\pi}{6}\right) = -\frac{\sqrt{3}}{2} $.
Answer 2
Charlotte Davis
To find $ cosleft(frac{7pi}{6}
ight) $, consider that $ frac{7pi}{6} $ is in the third quadrant where cosine is negative.
The reference angle $ frac{pi}{6} $ has a cosine value of $ frac{sqrt{3}}{2} $.
Thus, $ cosleft(frac{7pi}{6}
ight) = -frac{sqrt{3}}{2} $.
Answer 3
James Taylor
In the third quadrant, $ cosleft(frac{7pi}{6}
ight) $ is negative:
$ cosleft(frac{7pi}{6}
ight) = -frac{sqrt{3}}{2} $
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