Simplify sin(60)+cos(45)

Problem

sin(60^∘)+cos(45^∘)

Solution

1. Identify the exact value of sin(60^∘) using the unit circle or special right triangles.

sin(60^∘)=√(,3)/2

2. Identify the exact value of cos(45^∘) using the unit circle or special right triangles.

cos(45^∘)=√(,2)/2

3. Substitute these values back into the original expression.

√(,3)/2+√(,2)/2

4. Combine the terms over a common denominator.

(√(,3)+√(,2))/2

Final Answer

sin(60^∘)+cos(45^∘)=(√(,3)+√(,2))/2

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