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Unformatted text preview: Section 4.4 Trigonometric Functions of Any Angle In the last section, we evaluated trigonometric functions of acute angles. The point P=(x,y) was a point r units from the origin on the terminal side of θ. A right triangle was formed by drawing a line segment from P=(x,y) perpendicular to the origin. The length of the side opposite θ was y and the length of the side adjacent θ was x. In this section, we extend our definitions of the six trigonometric functions to include angles that are not acute (obtuse, straight, quadrantal,…). The point P=(x,y) may be any point on the terminal side of the angle θ other than the origin (0,0). Definitions of Trigonometric Functions of Any Angle Let θ be any angle in standard position and let P=(x,y) be a point on the terminal side of θ. If 2 2 y x r + = is the distance from (0,0) to (x,y), the six trigonometric functions of θ are defined by the following ratios: , cot , sec , csc , tan cos sin ≠ = ≠ = ≠ = ≠ = = = y y x x x r y y r x x y...
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This note was uploaded on 11/23/2010 for the course MATH 115 taught by Professor Mcbride,v during the Fall '08 term at University of South Dakota.
- Fall '08