Find the Exact Value cos(-360)

Problem

cos(−360)

Solution

1. Identify the angle and its properties. The angle is −360 which represents one full rotation in the clockwise direction.

2. Apply the concept of coterminal angles. Adding 360 to the angle gives −360+360=0

3. Use the property that trigonometric functions of coterminal angles are equal, so cos(−360)=cos(0)

4. Evaluate the cosine of 0 using the unit circle, where the xcoordinate at 0 is 1

Final Answer

cos(−360)=1

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