Evaluate sin(60 degrees )^2+cos(45 degrees )^2

Problem

sin(60)+cos(45)

Solution

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

2. Substitute the value sin(60)=√(,3)/2 into the expression.

3. Substitute the value cos(45)=√(,2)/2 into the expression.

4. Square each term individually.

(√(,3)/2)2=3/4

(√(,2)/2)2=2/4

5. Add the resulting fractions together.

3/4+2/4=5/4

Final Answer

sin(60)+cos(45)=5/4

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