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^∘

Want more problems? Check here!