Simplify sin(( square root of 3)/2)

Problem

sin(√(,3)/2)

Solution

1. Identify the expression as the sine of a constant value, where the angle is √(,3)/2 radians.

2. Approximate the value of the argument √(,3)/2 to understand its position on the unit circle.

3. Calculate the numerical value, as √(,3)/2 is not a standard multiple of π that results in a simple exact trigonometric ratio.

4. Evaluate the sine function using the radian value √(,3)/2≈0.866025

Final Answer

sin(√(,3)/2)≈0.76176

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