Simplify cos(pi/4)+cos(pi/3)

Problem

cos(π/4)+cos(π/3)

Solution

1. Identify the exact value of the first trigonometric term using the unit circle or special right triangles.

cos(π/4)=√(,2)/2

2. Identify the exact value of the second trigonometric term using the unit circle or special right triangles.

cos(π/3)=1/2

3. Substitute these values back into the original expression.

√(,2)/2+1/2

4. Combine the terms over the common denominator of 2.

(√(,2)+1)/2

Final Answer

cos(π/4)+cos(π/3)=(√(,2)+1)/2

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