AM 1411A/B Study Guide - Comprehensive Final Exam Guide - Squeeze (Band), Unit Circle, Trigonometry

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An arc of a circle of radius r subtends an angle t at the @ the centre od the circle. The length ( ) of the arc is the same fraction of the circumference (2 ) of the circle that the angle ( ) is of a complete revolution of 2 radians ( ) units. The area ( ) of the circular sector is the same fraction of the area ( ) od the circle that the angle ( ) is of a complete revolution of radians ( ) units. Trig functions the -coordinate of: the -coordinate of. Since has circumference adding to causes the point to go an extra complete revolution around and end up in the same place. Since a circle is symmetric about the -axis, the points and have the same - coordinates and opposite -coordinates. Cosine is an even function & sine is an odd function. 2 angles are complementary if their sum is.

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