Find the Value Using the Unit Circle sin(-1/2)

Problem

sin(−1/2)

Solution

1. Identify the input of the function. The expression sin(−1/2) asks for the sine of a value of −0.5 radians.

2. Recognize that −1/2 is not a standard angle (like π/6 or π/4 usually found on the unit circle.

3. Evaluate the sine function for the given radian value. Since −1/2 is approximately −28.65 the value must be calculated using a calculator or a Taylor series approximation.

4. Approximate the numerical result. Using the property sin(−x)=−sin(x) we find sin(−0.5)=−sin(0.5)

Final Answer

sin(−1/2)≈−0.4794255386

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