Simplify cos(330)

Problem

cos(330)

Solution

1. Identify the angle's position on the unit circle. The angle 330 is in the fourth quadrant.

2. Find the reference angle. Since 330 is in the fourth quadrant, the reference angle is 360−330=30

3. Determine the sign of the cosine function. In the fourth quadrant, the cosine of an angle is positive.

4. Apply the reference angle property.

cos(330)=cos(30)

5. Evaluate the trigonometric value using standard unit circle values.

cos(30)=√(,3)/2

Final Answer

cos(330)=√(,3)/2

Want more problems? Check here!