Simplify sin(pi/3)+cos(pi/6)

Problem

sin(π/3)+cos(π/6)

Solution

1. Identify the exact value of the first trigonometric term using the unit circle or a standard reference triangle.

sin(π/3)=√(,3)/2

2. Identify the exact value of the second trigonometric term.

cos(π/6)=√(,3)/2

3. Substitute these values back into the original expression.

√(,3)/2+√(,3)/2

4. Combine the terms by adding the numerators over the common denominator.

(2√(,3))/2

5. Simplify the fraction by canceling the common factor of 2.

√(,3)

Final Answer

sin(π/3)+cos(π/6)=√(,3)

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