Evaluate sin(1/2)

Problem

sin(1/2)

Solution

1. Identify the input value for the sine function, which is 1/2 radians.

2. Recognize that 1/2 is not a standard angle (like π/6 or π/4 for which the sine value is typically expressed in exact radical form.

3. Approximate the value using the Taylor series expansion for sin(x) or a calculator, where sin(x)≈x−(x3)/6

4. Calculate the numerical value to several decimal places.

Final Answer

sin(1/2)≈0.4794255386

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