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Mathematics - Lecture 21 "Angles, the point function and the circular functions" presents the following content: Angles, the point function, sine and cosine of real numbers, special values of circular functions, other circular functions. | Angles, the Point Function and the Circular Functions Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 21 Math 17 (UP-IMath) Angles, the Point Function and the Circular Functions Lec 21 1 / 30 Outline 1 Angles 2 The Point Function 3 Sine and Cosine of Real Numbers 4 Special Values of Circular Functions 5 Other Circular Functions Math 17 (UP-IMath) Angles, the Point Function and the Circular Functions Lec 21 2 / 30 Angles Definition Angle: figure formed by two rays (called sides) sharing a common endpoint (vertex) Math 17 (UP-IMath) Angles, the Point Function and the Circular Functions Lec 21 3 / 30 Angles Definition Angle: figure formed by two rays (called sides) sharing a common endpoint (vertex) – can be formed by rotating a ray about its endpoint Math 17 (UP-IMath) Angles, the Point Function and the Circular Functions Lec 21 3 / 30 Angles Definition Angle: figure formed by two rays (called sides) sharing a common endpoint (vertex) – can be formed by rotating a ray about its endpoint Math 17 (UP-IMath) Angles, the Point Function and the Circular Functions Lec 21 3 / .