Find the Reference Angle 270 degrees

Problem

270

Solution

1. Identify the quadrant in which the given angle θ=270 lies.

2. Determine the position of the terminal side, noting that 270 is a quadrantal angle located on the negative y-axis.

3. Apply the definition of a reference angle, which is the acute angle formed between the terminal side and the x-axis.

4. Calculate the distance from the terminal side at 270 to the nearest part of the x-axis (180 or 360.

5. Subtract to find the angle: 270−180=90 or 360−270=90

Final Answer

Reference Angle of *270=90

Want more problems? Check here!