4.1 Angles

  • Positive and Negative Angles • Coterminal Angles • Angle Conversions • Standard Position of an Angle

In Chapter 2, we gave a basic definition of an angle. In this section, we extend this definition and also give some other important definitions related to angles.

An angle is generated by rotating a ray about its fixed endpoint from an initial position to a terminal position. The initial position is called the initial side of the angle, the terminal position is called the terminal side, and the fixed endpoint is the vertex. The angle itself is the amount of rotation from the initial side to the terminal side.

If the rotation of the terminal side from the initial side is counterclockwise, the angle is defined as positive. If the ...

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