Simplify cos(pi/4)+cos(pi/6)

Problem

cos(π/4)+cos(π/6)

Solution

1. Identify the exact values for the trigonometric functions at the given angles using the unit circle.

2. Substitute the value for the first term: cos(π/4)=√(,2)/2

3. Substitute the value for the second term: cos(π/6)=√(,3)/2

4. Combine the terms over a common denominator.

Final Answer

cos(π/4)+cos(π/6)=(√(,2)+√(,3))/2

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