Radian Measure and Coterminal Angles Take out your
- Slides: 26
Radian Measure and Coterminal Angles Take out your homework from Friday!!!
Warm-up (1: 30 m) l Using your “Degrees and Radians” handout from Friday, describe how you convert between degrees and radians.
Converting Between Degrees and Radians To convert degrees To convert radians to radians, multiply to degrees, multiply by by
Converting Between and Radians, cont Degrees → Radians → Degrees
l Picture of Unit Circle with missing degrees and radian measures. Students fill missing measures.
Radian Measure l l l Another way of measuring angles Convenient because major measurements of a circle (circumference, area, etc. ) are involve pi Radians result in easier numbers to use
Radian Measure, cont.
The Unit Circle – An Introduction l l Circle with radius of 1 1 Revolution = 360° l l l 2 Revolutions = 720° Positive angles move counterclockwise around the circle Negative angles move clockwise around the circle
Sketching Radians 90° 0° 180° 360° 270°
Sketching Radians l Trick: Convert the fractions into decimals and use the leading coefficients of pi
Example #1
Example #2
Example #3
Example #4
Your Turn:
Your Turn:
Your Turn:
Experiment Graph and do you notice? on the axes below. What
Coterminal Angles co – terminal with, joint, or together l ending Coterminal Angles – angles that end at the same spot
Coterminal Angles, cont. l l Each positive angle has a negative coterminal angle Each negative angle has a positive coterminal angle
Solving for Coterminal Angles If the angle is less greater than 2 pi, than 0, add 2 pi to subtract 2 pi from the given angle. l l You may need to add or subtract 2 pi more than once!!! Trick: Add or subtract the coefficients of pi rather than the entire radian measure
Examples: Find a coterminal angle between 0 and 2 pi
Your Turn: Find a coterminal angle between 0 and 2 pi
Group Exit Ticket l Are why not? and coterminal? Why or
Exit Ticket, cont. 1. Multiply: 2. Rationalize:
- 17.1 angles of rotation and radian measure
- 6-1 angles and radian measure answers
- Vertical angles
- Printable unit circle chart
- Vertical angles shapes
- Rad sin cos tan
- Radian measure
- Degree measure
- How to find a positive and negative coterminal angle
- You're my kryptonite figurative language
- Angulo coterminal de 38
- Coterminal angle meaning
- Coterminal angle definition
- Coterminal unit circle
- Medida del ángulo coterminal de 908°
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