That table runs only when the given angle lies between 0° and 360°. In the preceding section, we learned that we could find the reference angles using the set of rules mentioned in the table. Therefore, the reference angle of 120° is 60°. Applying the above rules, its reference angle is, We recognize that 120° lies in quadrant II. If the angle is in radians, then we do the same rules as for degrees by replacing 180° with π and 360° with 2π.Įxample: Find the reference angle of 120°. Rules for Reference Angles in Each Quadrant Hither, 45° is the reference angle of 135°. The reference angle of 135° is drawn here: To represent the reference angle for an angle, identify its terminal side and see by what angle the terminal side is close to the x-axis. Reference Angle How to Draw Reference Angle? A reference angle is continually positive irrespective of which side of the axis it is falling. It is always an acute angle (except when it is precisely 90 degrees). The reference angle is the minutest possible angle made by the terminal side of the given angle with the x-axis. Let us read more about the reference angle in this article. It is constantly positive and less than or equal to 90 degrees. In math, a reference angle is usually an acute angle enclosed between the terminal arm and the x-axis.
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