Evaluate sin(-pi/6)

Problem

sin(−π/6)

Solution

1. Identify the property of the sine function for negative angles. Since sine is an odd function, sin(−x)=−sin(x)

2. Apply the odd function property to the given expression.

sin(−π/6)=−sin(π/6)

3. Determine the value of sin(π/6) using the unit circle or special right triangles.

sin(π/6)=1/2

4. Substitute the value back into the expression.

−sin(π/6)=−1/2

Final Answer

sin(−π/6)=−1/2

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