Resources

  • Ch4 Unit Outline
  • Notes

Assignment

  • p175 #1-6, 12-15, 17, 19, C1, C2, C3

Things you should be able to do after today:

  • know the relationship between radians, the radius and the arc length in a circle
  • convert degrees to radian measure
  • convert radians to degrees
  • know the special angles in degrees and radians 
Attachments:
FileDescriptionFile size
Download this file (12.4.1a.notes.pdf)12.4.1a.notes.pdf 2381 kB

Angles in standard position use the positive side of the x-axis as the inital arm.  Counter-clockwise rotations from this initial arm produce positive angles, and clockwise rotations produce negative angles.  Sometimes, different angles can end up with the same terminal arm.  These are called coterminal angles.

Resources:

  • Notes

Assignment:

  • p175 #7-9, 11, 18-20 C5

Things you should know how to do after today:

  • define an angle in standard position
  • define a coterminal angle
  • Find the reference angle for an angle in standard position
  • Find the smallest positive coterminal angle for any angle in standard position
Attachments:
FileDescriptionFile size
Download this file (12.4.1b.notes.pdf)12.4.1b.notes.pdf 412 kB

The foundation for a lot of trigonometry is the unit circle.

Resources

  • Notes

Assignment

  • p187 #1-4, 10, 11

Things you should be able to do after today:

  • recall the relationship between radian measure with the number of radiuses around the circumference of a circle
  • using special triangles, determine the coordinates for a point on the terminal arm when given the measure of the a standard position angle in radians
Attachments:
FileDescriptionFile size
Download this file (12.4.2a.notes.pdf)12.4.2a.notes.pdf 910 kB

Resources

  • Notes

Assignment

  • p187 #5, 6, 7, 9, 12, 13, 15, C1 C2 *17 *18

Things you should be able to do after today:

  • Given the coordinates of a point on the unit circle, determine the measure of the standard position angle in radians
Attachments:
FileDescriptionFile size
Download this file (12.4.2b.notes.pdf)12.4.2b.notes.pdf 618 kB

Resources

  • Notes

Assignment

  • Example 2, DEF from the the notes will be marked next class
  • p201 #1-9, 13, 14, 17, 18 C3

Things you should be able to do after today:

  • Given an angle in standard position, determine:
    • sinθ, cosθ, tanθ, secθ, cscθ and cotθ

 

Attachments:
FileDescriptionFile size
Download this file (12.4.3a.notes.pdf)12.4.3a.notes.pdf 509 kB

Resources

Assignment

  • p201 #10, 11, 12, 15, 16, C1, C2 *20,22, 24
Attachments:
FileDescriptionFile size
Download this file (12.4.3b.notes.pdf)12.4.3b.notes.pdf 458 kB

Resources

  • Notes: Introduction to solving trigonometric equations
    • Notes: 4.4a
    • Notes: 4.4b

Assignment

  • p211 #1, 3, 5, 6, 10, 11, 15, 16

Things you should be able to do after today:

  • solve an equation involving trigonometric functions for:
    • specific domains
    • general solutions (solved over the reals)
Attachments:
FileDescriptionFile size
Download this file (12.4.4a.notes.pdf)12.4.4a.notes.pdf 430 kB

Warmup Answer Key:

1.

 2.

  3.
 
 4a.
4b.
4c.
 
 5. a)
   
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