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8-20-14 T1.2c To Calculate Reference Angles

8-20-14 T1.2c To Calculate Reference Angles. “And then one of the little kids shined his flashlight into the corner of the basement, and there they saw these strange jars…Some said ‘creamy’, some said ‘crunchy’…”. Active Learning Assignment Questions?. An Astronaut’s View of Earth.

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8-20-14 T1.2c To Calculate Reference Angles

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  1. 8-20-14 T1.2c To Calculate Reference Angles “And then one of the little kids shined his flashlight into the corner of the basement, and there they saw these strange jars…Some said ‘creamy’, some said ‘crunchy’…”

  2. Active Learning Assignment Questions? An Astronaut’s View of Earth

  3. START COPYING: • Reference Angle: Given angle Ө (theta), the reference angle, Ө’ (theta prime) is one whose initial side is on the x axis and shares the same terminal side. • The reference angle is never more than 90° and always positive . • In Quadrant I the angle and it’s reference have the same initial side and same terminal side. • In Quadrants II & III, the initial side is on the NEGATIVE X axis and the terminal sides are the same. • In Quadrant IV, the initial side is on the POSITIVE X axis and the terminal sides are the same.

  4. In reality, it represents the space between the terminal side and the x axis. (almost absolute value definition!) II I III IV Let’s try: 57° 0° 180° 360° 45° 24° We can draw them, but how can we find their reference angle measure? 34°

  5. II I III IV Find the reference angle: 39° 0° 180° 360° 39°

  6. II I III IV Find the reference angle: 0° 180° 360°

  7. II I III IV Find the reference angle: 48° Coterminal Angle? 588° - 360° = 228° 0° 180° 360° 228°

  8. II I III IV Find the reference angle: 79° There are two ways to do this: Count degrees backwards (-90°, -180°, -270°, etc) 0° 180° 360° Or, use Coterminal Angles: -259° + 360° = 101° Joke break: What lies on the bottom of the ocean and twitches? A nervous wreck

  9. II I III IV Find the reference angle: First, write the quadrangle angles in π radians. π 0 2π Then change to a common denominator.

  10. II I III IV Find the reference angle: 0 π 2π

  11. II I III IV Find the reference angle: 0 π 2π

  12. Active Learning Assignment: Handout 1-16

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