Find the Exact Value sin(-pi/4)

Problem

sin(−π/4)

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 property to the given expression to move the negative sign outside the function.

sin(−π/4)=−sin(π/4)

3. Determine the exact value of sin(π/4) using the unit circle or a special 45−45−90 triangle.

sin(π/4)=√(,2)/2

4. Substitute the value back into the expression.

−sin(π/4)=−√(,2)/2

Final Answer

sin(−π/4)=−√(,2)/2

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