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Evaluate Trig Functions of Any Angle (1 of 3)
Part 1: An example of finding all six trig functions of an angle made with a coordinate. The trig ratios sine, cosine, and tangent are redefined using x's, y's, and r's, and when they're positive or negative is discussed. Part 2: What to do when your angle doesn't make a triangle (0, 90, 180, 270, or any multiple thereof). A mention of how to use reference angles to your advantage, but revisited in part 3. How the special triangles (45-45-90 and 30-60-90) are all over the unit circle and exact values, and how do divide so that the radius (hypotenuse) is 1. Part 3: How to evaluate trig functions (sin, cos, tan, csc, sec, and cot) of an angle. Start by sketching the angle, figure out what the side lengths are by using special triangles, and then decide what ratio you need to use with x's and y's. Several examples of how the signs (positive or negative) are related in different quadrants and to determine if statements are true or false by thinking logically through the trig ratios and their signs.