Find the Exact Value 2sin(pi/3)

Problem

2*sin(π/3)

Solution

1. Identify the angle in the unit circle. The angle π/3 radians is equivalent to 60

2. Determine the sine value for the given angle. From the unit circle or special right triangles, sin(π/3)=√(,3)/2

3. Substitute the value back into the original expression.

2⋅√(,3)/2

4. Simplify the expression by canceling the common factor of 2

√(,3)

Final Answer

2*sin(π/3)=√(,3)

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