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. Evaluate the numerical value of the argument. Since √(,3)≈1.732 the argument is 1.732/2≈0.866 radians.

3. Determine if the expression can be simplified further using exact trigonometric values. The value √(,3)/2 is a common result of trigonometric functions (e.g., sin(60), but here it serves as the input angle itself.

4. Conclude that since √(,3)/2 is not a standard multiple of π the expression sin(√(,3)/2) is already in its simplest exact form.

Final Answer

sin(√(,3)/2)=sin(√(,3)/2)

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