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The Unit Circle, Reference Angles, and Coterminal Angles

The Unit Circle, Reference Angles, and Coterminal Angles. Unit Circle. 1. (0,0). Center: . -1. 1. 1. Radius:. -1. Measure of an Angle. 1. The measure (counter clockwise) of an angle is determined by the amount of rotation from the initial side to the terminal side . -1. 1.

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The Unit Circle, Reference Angles, and Coterminal Angles

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  1. The Unit Circle, Reference Angles, and Coterminal Angles

  2. Unit Circle 1 (0,0) Center: -1 1 1 Radius: -1

  3. Measure of an Angle 1 The measure (counter clockwise) of an angle is determined by the amount of rotation from the initial side to the terminal side. -1 1 Initial Side Terminal Side -1

  4. Coterminal Angles 1 Angles that share the same initial and terminal sides. Example: 30° and 390° -1 1 -1

  5. Reference Angle (R.A.) 0°≤Ө≤90° 90°≤Ө≤180° 1 1 Ө Ө R.A. R.A. -1 -1 1 1 Acute angle formed by the terminal side and the x-axis. R.A. = 180° – Ө R.A. = Ө -1 -1 180°≤Ө≤270° 270°≤Ө≤360° 1 1 Ө -1 1 -1 1 R.A. R.A. Ө R.A. = 360° – Ө R.A. = Ө – 180° -1 -1

  6. Example Find the reference angle and one coterminal angle for an angle whose measure is 310°. Draw the Angle: Reference Angle: 1 A Coterminal Angle: ? -1 1 (Either add or subtract a multiple of 360°) -1

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