Find the exact value of cos330 degrees

Answer 1

The cosine of 330 degrees can be found using the unit circle.

Since 330 degrees is in the fourth quadrant, we need to find the reference angle first. In the fourth quadrant, the reference angle is 360 degrees - 330 degrees = 30 degrees.

The cosine of 30 degrees is √3/2.

Since cosine is positive in the fourth quadrant, the cosine of 330 degrees is also √3/2.

Therefore, cos(330 degrees) = √3/2.