Find the Exact Value cos(-630)

Problem

cos(−630)

Solution

1. Use the even-odd property of the cosine function, which states that cos(−θ)=cos(θ)

cos(−630)=cos(630)

2. Find a coterminal angle by adding or subtracting multiples of 360 until the angle is within the range [0,360)

630−360=270

3. Identify the cosine value for the coterminal angle 270 on the unit circle.

cos(270)=0

Final Answer

cos(−630)=0

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