Simplify sin(30)+sin(60)

Problem

sin(30)+sin(60)

Solution

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

2. Substitute the value for the first term:

sin(30)=1/2

3. Substitute the value for the second term:

sin(60)=√(,3)/2

4. Combine the terms over a common denominator:

1/2+√(,3)/2=(1+√(,3))/2

Final Answer

sin(30)+sin(60)=(1+√(,3))/2

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