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

Problem

sin(−π/3)

Solution

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

2. Apply the property to rewrite the expression by moving the negative sign outside the function.

sin(−π/3)=−sin(π/3)

3. Determine the exact value of sin(π/3) using the unit circle or a special right triangle (30−60−90.

sin(π/3)=√(,3)/2

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

−sin(π/3)=−√(,3)/2

Final Answer

sin(−π/3)=−√(,3)/2

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