Evaluate sin(-45 degrees )

Problem

sin(−45)

Solution

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

2. Apply the property to the given expression.

sin(−45)=−sin(45)

3. Recall the exact value of sin(45) from the unit circle or a special right triangle (45−45−90.

sin(45)=√(,2)/2

4. Substitute the value back into the expression.

−sin(45)=−√(,2)/2

Final Answer

sin(−45)=−√(,2)/2

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