Determine the exact value of the following. Express as a fraction.cos 30°cos 30° =
Question
Determine the exact value of the following.
Express as a fraction.
\cos 30° \cos 30° =
Solution
The cosine of 30 degrees is √3/2.
Here's how you can determine this:
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Recognize that 30 degrees is one of the common angles in the unit circle, which is often memorized in trigonometry.
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Recall that the cosine of an angle in the unit circle is equal to the x-coordinate of the point where the terminal side of the angle intersects the unit circle.
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Remember that the point where the terminal side of a 30-degree angle intersects the unit circle is (√3/2, 1/2).
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Therefore, the cosine of 30 degrees is √3/2.
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