![]() ![]() This is how we can find reference angles of any given angle. Thus, the reference angle of 480° is 60°. Step 3: The angle from step 2 is the reference angle of the given angle. Here, 120° does not lie between 0° and 90° and it is closest to 180° by 60°. If not, then we have to check whether it is closest to 180° or 360° and by how much. ![]() Step 2: If the angle from step 1 lies between 0° and 90°, then that angle itself is the reference angle of the given angle. We will subtract 360° from 480° to find its coterminal angle. Let's find the coterminal angle of 480° that lies between 0° and 360°. The coterminal angle can be found either by adding or subtracting 360° from the given angle as many times as required. Step 1: Find the coterminal angle of the given angle that lies between 0° and 360°. The steps to find the reference angle of an angle are explained with an example. But what if the given angle does not lie in this range? Let's see how we can find the reference angles when the given angle is greater than 360°. That table works only when the given angle lies between 0° and 360°. ![]() In the previous section, we learned that we could find the reference angles using the set of rules mentioned in the table. ![]()
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