Evaluate sin(30 degrees )^2+cos(60 degrees )^2

Problem

sin(30)+cos(60)

Solution

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

2. Substitute the value sin(30)=1/2 into the expression.

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

4. Square the substituted values.

(1/2)2=1/4

5. Add the resulting fractions together.

1/4+1/4=2/4

6. Simplify the fraction to its lowest terms.

2/4=1/2

Final Answer

sin(30)+cos(60)=1/2

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