## 12.4.1a Angles and Radian Measure

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
• know the special angles in degrees and radians
Attachments:
FileDescriptionFile size
12.4.1a.notes.pdf 2381 kB

## 12.4.1b Coterminal Angles

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
12.4.1b.notes.pdf 412 kB

## 12.4.2a The Unit Circle

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
12.4.2a.notes.pdf 910 kB

## 12.4.2b Unit Circle

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
12.4.2b.notes.pdf 618 kB

## 12.4.3a Trigonometric Ratios

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
12.4.3a.notes.pdf 509 kB

## 12.4.3b Finding the Arc Length

Resources

Assignment

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

## 12.4.4 Solving Trigonometric Equations

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
12.4.4a.notes.pdf 430 kB
12.4.4b.notes.pdf 433 kB

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