Math 131 4.1 Angles Note 1 Definition: An angle is created when a half-ray (initial side) is rotated around a point (the vertex) and stops at a new.

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Presentation transcript:

Math 131 4.1 Angles Note 1 Definition: An angle is created when a half-ray (initial side) is rotated around a point (the vertex) and stops at a new location (the terminal side) Terminal side vertex Initial Side

Math 131 4.1 Angles Note 2 Angles are measured using two different measuring units: Degrees: 360 degrees in one circle Radians: 2 p radians in one circle 2 p radians = 360 degrees 2 p = 360 p radians = 180 degrees

Math 131 4.1 Angles Note 3

Math 131 4.1 Angles Note 4

Math 131 4.1 Angles Note 5

Math 131 4.1 Angles Note 6

Math 131 4.1 Angles Note 7 Special Types of Angles coterminal: share the same initial and terminal sides complementary: sum of the measures of two positive angles is 90 degrees (or p radians) supplementary: sum of the measures of two positive angles is 180 degrees ( or 2 p radians)

Math 131 4.1 Angles Note 8

Math 131 4.1 Angles Note 9

Math 131 4.1 Angles Note 10