Find the Exact Value sin(-1/3)

Problem

sin(−1/3)

Solution

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

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

3. Determine if the value −1/3 corresponds to a standard angle on the unit circle (like 0 π/6 π/4 π/3 or π/2.

4. Conclude that since 1/3 is not a standard angle, the exact value is expressed in its simplest trigonometric form.

Final Answer

sin(−1/3)=−sin(1/3)

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