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March 27, 2017

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Its center at O = (0, 0), the unit circle x2 + y2 = 1 goes through P = (1, 0). The line y = 0.6 intersects the circle at A and B, with A in the first quadrant. The angles POA and POB are said to be in standard position, because their initial ray OP points in the positive x-direction. (Their terminal rays are OA and OB.) Find the sizes of these angles.
How are they related?

Then (Continuation) If we restrict ourselves to a single revolution, there are actually two angles in standard position that could be named POB. The one determined by minor arc PB is said to be positive, because it opens in the counterclockwise direction. Find its degree measure. The one determined by major arc PB is said to be negative, because it opens in the clockwise direction. Find its degree measure.

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