Simplify cos(-pi/4)

Problem

cos(−π/4)

Solution

1. Identify the parity of the cosine function. Since cosine is an even function, it satisfies the identity cos(−θ)=cos(θ)

2. Apply the identity to the given expression by removing the negative sign from the argument.

cos(−π/4)=cos(π/4)

3. Evaluate the cosine of the standard angle π/4 (or 45 using the unit circle or a special right triangle.

cos(π/4)=√(,2)/2

Final Answer

cos(−π/4)=√(,2)/2

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