Find the Exact Value sin(-1)

Problem

sin(−1)

Solution

1. Identify the expression as the sine of a negative value.

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

3. Substitute the value x=1 into the property to rewrite the expression.

4. Determine if the value can be simplified further. Since 1 is not a standard angle (like π/6 or π/4, the exact value is expressed in terms of the sine function itself.

Final Answer

sin(−1)=−sin(1)

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