What Is the Reciprocal of an Angle in the Unit Circle?

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The reciprocal of an angle in the unit circle can be found by looking at a few specific things very closely. Learn how to find the reciprocal of an angle in the unit circle with help from a longtime mathematics educator in this free video clip.

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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about what is the reciprocal of an angle in the unit circle. Now, when you have an angle, an angle is always going to express in terms of theta, or thetas the, a particular angle. But, when it, when it comes to finding the reciprocal of an angle, unit circle or not, basically, remember when you talk, think about the reciprocal, it's just going to be one over that angle. So, it's basically going to be one over theta. So, when it comes to finding the reciprocal of an angle, it's just like finding the reciprocal of a number. All you're doing is you're just taking one over that, or if you are flipping the angle if you will. So, if you have let's just say an angle in radiant form, pi over six, the reciprocal of that angle is just going to be one over pi over six; which means that if you're dividing by fraction, you're really multiplying by this reciprocal. So, it's just going to be one times six over pi. So, the reciprocal of that angle is just going to be six over pi And you can do this with any angle whether it'd be in radiant or degree form. So, I'm Jimmy Chang and that answers the question of what is the reciprocal of an angle in the unit circle.

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