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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° =

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Solution

The cosine of 30 degrees is √3/2.

Here's how you can determine this:

  1. Recognize that 30 degrees is one of the common angles in the unit circle, which is often memorized in trigonometry.

  2. 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.

  3. Remember that the point where the terminal side of a 30-degree angle intersects the unit circle is (√3/2, 1/2).

  4. Therefore, the cosine of 30 degrees is √3/2.

This problem has been solved

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