Evaluate sin(-1/2)

Problem

sin(−1/2)

Solution

1. Identify the nature of the input. The value −1/2 is a real number representing an angle in radians, not a standard ratio from the unit circle (like sin(−1/2)(−1).

2. Apply the odd function property of the sine function, which states that sin(−x)=−sin(x)

sin(−1/2)=−sin(1/2)

3. Determine if a decimal approximation is required. Since 1/2 radian is not a standard angle (like π/6, the exact value is expressed as sin(−1/2) or −sin(1/2)

4. Calculate the numerical value using a calculator in radian mode if an approximation is needed.

sin(−0.5)≈−0.4794255

Final Answer

sin(−1/2)≈−0.4794255

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