Find the Exact Value sin(-810)

Problem

sin(−810)

Solution

1. Identify the angle in degrees and find its coterminal equivalent within the standard range of 0 to 360

2. Add multiples of 360 to the negative angle until it is positive.

−810+360=−450

−450+360=−90

−90+360=270

3. Evaluate the sine function at the coterminal angle 270

4. Recall the coordinates on the unit circle at 270 which are (0,−1)

5. Determine the sine value, which corresponds to the ycoordinate.

sin(270)=−1

Final Answer

sin(−810)=−1

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