L26 - Lecture 26: Section 4.2 The Unit Circle and...

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Unformatted text preview: Lecture 26: Section 4.2 The Unit Circle and Trigonometric Functions The unit circle is the circle of radius 1 centered at the origin in the u1D465u1D466-plane. Its equation is u1D465 2 + u1D466 2 = 1. Let u1D461 be a real number. The terminal point u1D443 ( u1D465, u1D466 ) on the unit circle is obtained by starting at the point (1,0) and moving in a counterclockwise direction with a distance u1D461 if u1D461 > 0 or in a clockwise direction if u1D461 < 0. NOTE: All coterminal angles have the same terminal point. ex. Find the terminal point on the unit circle cor- responding to the real number u1D461 . 1) u1D461 = u1D70B 4 2) u1D461 = u1D70B 6 3) u1D461 = u1D70B 3 The Unit Circle The Trigonometric Functions Def. Let u1D461 be any real number and let ( u1D465, u1D466 ) be the terminal point on the unit circle corresponding to u1D461 . We define sin u1D461 = csc u1D461 = cos u1D461 = sec u1D461 = tan u1D461 = cot u1D461 = ex. Find the six trigonometric functions of the given real number u1D461 ....
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L26 - Lecture 26: Section 4.2 The Unit Circle and...

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