Simplify cos(45)+sin(30)

Problem

cos(45)+sin(30)

Solution

1. Identify the exact values for the trigonometric functions at the given angles using the unit circle or special right triangles.

2. Substitute the value for the first term: cos(45)=√(,2)/2

3. Substitute the value for the second term: sin(30)=1/2

4. Combine the terms over a common denominator.

Final Answer

cos(45)+sin(30)=(√(,2)+1)/2

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