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

Problem

sin(π/6)+cos(π/6)

Solution

1. Identify the value of the sine function at π/6 radians (30 using the unit circle.

sin(π/6)=1/2

2. Identify the value of the cosine function at π/6 radians (30 using the unit circle.

cos(π/6)=√(,3)/2

3. Substitute these values back into the original expression.

1/2+√(,3)/2

4. Combine the terms over a common denominator.

(1+√(,3))/2

Final Answer

sin(π/6)+cos(π/6)=(1+√(,3))/2

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