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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