Simplify cos(-pi/6)

Problem

cos(−π/6)

Solution

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

cos(−π/6)=cos(π/6)

2. Identify the value of the cosine function at the reference angle π/6 (or 30 using the unit circle or special right triangles.

cos(π/6)=√(,3)/2

Final Answer

cos(−π/6)=√(,3)/2

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