Find the Exact Value sin((-pi)/4)

Problem

sin(−π/4)

Solution

1. Identify the property of the sine function. Since sine is an odd function, use the identity sin(−x)=−sin(x)

sin(−π/4)=−sin(π/4)

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

sin(π/4)=√(,2)/2

3. Substitute the value back into the expression.

−sin(π/4)=−√(,2)/2

Final Answer

sin(−π/4)=−√(,2)/2

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