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Pi Over Unit Circle

Pi Over 3 Unit Circle

Negative Pi On Unit Circle

Pi/4 On Unit Circle

We already observed that a full rotation of the trig circle is 360 or ( 2 pi ) radians. So, if we are given an angle higher than 360 or (2pi) radians (in either positive or negative measures), we must keep removing (or adding, if we have a negative angle) either 360 or (2pi) radians until we have an angle between 0 and 360 (or 0 and (2pi) radians). Because they are the same angle in the trig circle, we call the new angle co-terminal with the old angle.

These calculations also serve as a primer for the problem's generalized version. What are the coordinates of the point corresponding to an angle (theta) on the unit circle? This is a true challenging issue for which there is no universal solution. This is a true challenging issue for which there is no universal solution. As a consequence, in contemporary mathematics, the functions sine and cosine exist to address that question. Given an angle, sine returns the vertical component and cosine delivers the horizontal component of the angle's corresponding point on the unit circle. Continue reading

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