Evaluate sin(-270 degrees )

Problem

sin(−270)

Solution

1. Apply the odd function property of the sine function, which states that sin(−θ)=−sin(θ)

sin(−270)=−sin(270)

2. Identify the value of sin(270) on the unit circle. At 270 the coordinates are (0,−1) so the sine value is the y-coordinate.

sin(270)=−1

3. Substitute the value back into the expression and simplify the signs.

−(−1)=1

Final Answer

sin(−270)=1

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