Find the Exact Value cos(-60 degrees )

Problem

cos(−60)

Solution

1. Apply the even-odd identity for the cosine function, which states that cos(−θ)=cos(θ)

cos(−60)=cos(60)

2. Identify the reference angle in the first quadrant of the unit circle.

θ=60

3. Determine the exact value using the standard trigonometric values for special angles.

cos(60)=1/2

Final Answer

cos(−60)=1/2

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