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Unit 7: Angles and Angle Measures

Unit 7: Angles and Angle Measures. Terminal Side. Initial Side. Vertex. POSITIVE Angle Measure Counter Clockwise. Standard Position. NEGATIVE Angle Measure Clockwise. θ. Degree Radian. Radians Degrees. Example 1: Converting from Degrees to Radians.

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Unit 7: Angles and Angle Measures

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  1. Unit 7:Angles and Angle Measures Terminal Side Initial Side Vertex POSITIVE Angle Measure Counter Clockwise Standard Position NEGATIVE Angle Measure Clockwise θ

  2. Degree Radian Radians Degrees Example 1: Converting from Degrees to Radians Example 2: Converting from Radians to Degrees [A] 60°[B] 30° [A] [B] Radian: A unit of measure based on radii of a unit circle. (1 radian ≈ 57°) Usually given in terms of π. 2π radians = 360° π radians = 180° Conversion of Radians and Degrees

  3. Example 3 DRAW an Angle in Standard Position and STATE the QUADRANT of the coordinate plane of the terminal side [C]540° [E] [D]– 910° [F] [A]210° [B]– 45 °

  4. COTERMINAL ANGLES: Example 4 Finding Coterminal Angles (2 positive / 2 negative) [A] 240°[B] Two angles in standard form who share the same terminal side (45° and 405°) How to find coterminal angles:by adding or subtracting multiples of 360° or 2π (Full rotations of circle) [C]- 50°[D]

  5. Unit Circle with Common Measures Circle of radius = 1 PATTERNS: Radians: x’s: y’s:

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