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Question

# For the following exercise,Find the exact value of each trigonometric function.$\cos \frac{\pi}{6}$

Solution

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Step 1
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When drawing a vertical line from the point on a unit circle corresponding to an angle of $\frac{\pi}{6}$ to the point corresponding to the angle of $-\frac{\pi}{6}$, we obtain the equilateral triangle, as shown below: Thus, the sides with lengths $2y$ and $1$ are equal, that is:

$2y=1$

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