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

Problem

sin(45)+cos(60)

Solution

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

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

3. Substitute the value cos(60)=1/2 into the expression.

4. Square the substituted values.

(√(,2)/2)2=2/4=1/2

(1/2)2=1/4

5. Add the resulting fractions by finding a common denominator.

1/2+1/4=2/4+1/4=3/4

Final Answer

sin(45)+cos(60)=3/4

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