Find the Exact Value sin(45 degrees )cos(45 degrees )

Problem

sin(45)*cos(45)

Solution

1. Identify the exact values for the trigonometric functions at 45 using the unit circle or a special right triangle.

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

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

4. Multiply the two fractions together.

5. Simplify the resulting fraction by calculating the product in the numerator and denominator.

Final Answer

sin(45)*cos(45)=1/2

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