find the exact value of cos 330

1 answer

Using the unit circle, we can see that 330 degrees starts in the fourth quadrant and rotates clockwise. To find the cosine of 330 degrees, we can find the reference angle by subtracting 360 degrees from 330 degrees, giving us 330 - 360 = -30 degrees.

Since cosine is an even function, we know that cos(-30) is the same as cos(30). Looking at the unit circle, we see that the cos value for 30 degrees is √3/2.

Therefore, cos 330 = cos(-30) = cos 30 = √3/2.

The exact value of cos 330 is √3/2.
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