Find the Exact Value 2sin(45)

Problem

2*sin(45)

Solution

1. Identify the trigonometric value for the sine of 45 using the unit circle or a special right triangle.

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

2*(√(,2)/2)

3. Simplify the expression by canceling the common factor of 2 in the numerator and the denominator.

(2√(,2))/2

√(,2)

Final Answer

2*sin(45)=√(,2)

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