Web Reference: Jan 30, 2026 · Then, apply the appropriate reference angle formula based on the quadrant the angle is in. Read on below to review what reference angles are, how to find them in degrees and radians, and what to do when the angle is negative or greater than 360° (or 2𝛑)! Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. Now that we have learned how to find the cosine and sine values for special angles in the first quadrant, we can use symmetry and reference angles to fill in cosine and sine values for the rest of the special angles on the unit circle.
YouTube Excerpt: This trigonometry video tutorial explains
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