Evaluate sin(-pi/2)

Problem

sin(−π/2)

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.

sin(−π/2)=−sin(π/2)

3. Evaluate the sine of the reference angle π/2 using the unit circle or trigonometric values.

sin(π/2)=1

4. Substitute the value back into the expression.

−1

Final Answer

sin(−π/2)=−1

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