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Trig-Day 3 Page 13

Learn how to draw angles in standard position, find coterminal angles, and use radian measures effectively. Understand the concept of initial and terminal sides for accurate measurements.

jeffreygilbert
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Trig-Day 3 Page 13

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  1. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure Trig-Day 3Page 13

  2. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure Page 13 I II III IV + + - + - - + -

  3. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 180 360 720 270

  4. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side  The other ray is called the terminal side. (Where the angle terminates

  5. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure The angle is measured by the amount of rotation from the initial side to the terminal side.  If measured in a counterclockwise direction the measurement is positive.   If measured in a clockwise direction the measurement is negative.  (A negative associated with an angle's measure refers to its "direction" of measurement, clockwise.)

  6. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 360 180 270 270 0 90 90 180

  7. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure

  8. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure If the terminal side of an angle lies "on" the axes (such as 0º, 90º, 180º, 270º, 360º), it is called a quadrantal angle. 

  9. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure

  10. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure

  11. SWBAT:Draw angles in standard position. Find coterminal angles and use an angle in radian measure If two angles in standard position have the same terminal side, they are called coterminal angles. In the diagram at the left, +120º and -240º are coterminalangles.

  12. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure Coterminal Angles are angles who share the same initial side and terminal sides.

  13. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure Coterminal angles are angles in standard position (angles with the initial side on the positive xx -axis) that have a common terminal side.  For example 30°30° , −330°−330° and 390°390° are all coterminal.

  14. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 320 – 360 = - 40 320 + 360 = 680

  15. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure -500 + 360 = - 140 360 - 140= 220

  16. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure

  17. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure Page 17 **Note: Always leave radians in terms of and as a reduced fraction, unless otherwise specified. *SET UP PROPORTION:*

  18. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 50 -120

  19. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 198 30

  20. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure 60 6

  21. SWBAT:Draw angles in standard position. Find conterminal angles and use an angle in radian measure

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