Find the Exact Value sin(-1/3*pi)

Problem

sin(−1/3*π)

Solution

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

sin(−π/3)=−sin(π/3)

2. Identify the reference angle value for π/3 (which is 60 from the unit circle or special triangles.

sin(π/3)=√(,3)/2

3. Substitute the value back into the expression to find the final result.

−sin(π/3)=−√(,3)/2

Final Answer

sin(−1/3*π)=−√(,3)/2

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