6.3 Angles and Radian Measure

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Presentation transcript:

6.3 Angles and Radian Measure

Parts of an Angle Modern trigonometry is based around the thought that an angle is formed by rotating a ray around its endpoint. Vertex: the endpoint of the angle Initial side: starting position of the ray Terminal side: the final position after the rotation

Terminal 40⁰ Vertex Initial Initial Vertex -43⁰ Terminal Terminal 830⁰ Vertex Initial

Positioning of an Angle An angle in the coordinate plane is said to be in standard position if its vertex is at the origin and its initial side is on the positive x-axis. Negative angle Positive angle

Coterminal Angles Angles formed by different rotations that have the same initial and terminal sides are called coterminal. Ex. Find three angles coterminal with an angle of 60⁰ in standard position. 60⁰ + 360⁰ = 60⁰ - 360⁰ = 60⁰ + 2(360⁰) =