Simplify sin(30)+cos(30)

Problem

sin(30^∘)+cos(30^∘)

Solution

1. Identify the exact values for the trigonometric functions at 30^∘ using the unit circle or a special right triangle (30^∘−60^∘−90^∘.

2. Substitute the value sin(30^∘)=1/2 into the expression.

3. Substitute the value cos(30^∘)=√(,3)/2 into the expression.

4. Combine the terms over a common denominator to simplify the sum.

Final Answer

sin(30^∘)+cos(30^∘)=(1+√(,3))/2

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