Find the Exact Value sin(-1/2)

Problem

sin(−1/2)

Solution

1. Identify the task as evaluating the sine of a constant value given in radians.

2. Recognize that −1/2 is not a standard angle (like π/6 or π/4 for which the sine function has a simple radical or integer exact value.

3. Determine that the expression sin(−1/2) is already in its simplest exact form, as it cannot be simplified further into rational numbers or square roots.

4. Apply the odd function property of sine, which states sin(−x)=−sin(x) to rewrite the expression if desired.

Final Answer

sin(−1/2)=−sin(1/2)

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