Simplify cos(30)+sin(60)

Problem

cos(30)+sin(60)

Solution

1. Identify the exact value of the first term using the unit circle or special right triangles.

cos(30)=√(,3)/2

2. Identify the exact value of the second term using the unit circle or special right triangles.

sin(60)=√(,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

cos(30)+sin(60)=√(,3)

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