Find the Reference Angle -100

Problem

−100

Solution

1. Find the coterminal angle by adding 360 to the given negative angle to bring it within the range of 0 to 360

−100+360=260

2. Identify the quadrant where the angle 260 terminates. Since 180<260<270 the angle is in Quadrant III.

3. Apply the reference angle formula for Quadrant III, which is θ′=θ−180

θ′=260−180

4. Calculate the result to find the positive acute angle formed with the x-axis.

θ′=80

Final Answer

Reference Angle of −100=80

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