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Angles

Angles . Conversions. Def: A radian is the measure of an angle that cuts off an arc length equal to the radius. Radians ↔ Degrees One full circle = 360º = 2 π radians One half circle = 180º = π radians Decimal Degrees ↔ DMS One degree = 60 minutes (1º = 60’)

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Angles

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  1. Angles

  2. Conversions • Def: A radian is the measure of an angle that cuts off an arc length equal to the radius. • Radians ↔ Degrees • One full circle = 360º = 2π radians • One half circle = 180º = π radians • Decimal Degrees ↔ DMS • One degree = 60 minutes (1º = 60’) • One minute = 60 seconds (1’ = 60”) • One degree = 60² or 3600 seconds (1º = 3600”)

  3. Terminology • Standard Position • Vertex • Initial Side • Terminal Side • Direction • Positive angles • Negative angles • Classification • Quadrantal angles

  4. Angle Pairs • Complimentary angles • Supplementary angles

  5. Angle Pairs • Coterminal angles

  6. Angle Pairs • Reference angles (θʹ)

  7. Special Angles

  8. Radians

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