Find the Exact Value sin(-45 degrees )

Problem

sin(−45)

Solution

1. Apply the odd-even identity for the sine function, which states that sin(−θ)=−sin(θ)

sin(−45)=−sin(45)

2. Identify the exact value of sin(45) using the unit circle or a special right triangle (45−45−90.

sin(45)=√(,2)/2

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

−sin(45)=−√(,2)/2

Final Answer

sin(−45)=−√(,2)/2

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