Unit 7: Trigonometric functions of real numbers.

7.1 Radian Measure

This section introduces a new unit for measuring angles, called the “radian”. At first they seem counter-intuitive but they simplify many calculations.

 Video 1: Unit Intro and Radian Measure of Angles

 Assignment 7.1

  • p.495; 1-4 all, 5-13 odd, 15
  • p.495; 16 Hint: Don’t convert the given angles to degrees. Instead, convert the total number of degrees in a triangle to radians, then do all of the work in radians.
  • p.495; 17,18 Pick ONE from each quadrant (you don’t have to do all three in each quadrant)
  • p.495; 21,23,27,29
  • p.496; 41,43

7.2 Radian Measure

Assignment 7.2

  • p. 501; 1,3,13,17,21

7.3 Radian Measure

Assignment 7.3 (Part 1)

  • Read p. 506 up to Example 1 (not including example 1) on p. 508. Find a “buddy” and discuss what the main point of this section is. When you’ve come to an agreement, find me and explain the main idea.

Video 3: More pythagorean identities with examples.

Video 4: Even and Odd functions. The opposite angle identities.

Assignment 7.3 (Part 2)

  • 31,32,33,35,37,39,43-51 odd

7.4 The Graphs of the Sine and COsine functions.

Video 5: Definition of periodic functions. Period.

Video 6: The graph of y=sin(x) on the interval [0,2Pi]


Apparently I can’t embed javascript into a wordpress page, so if you’d like to check out the demonstration from the video, follow this link:

http://demonstrations.wolfram.com/IllustratingSineWithTheUnitCircle/

Assignment 7.4

  • 1-8 all
  • 19,21
  • 23-31 odd
  • 37a – 37c. 37 d is recommended, but optional (if you do 37d, maybe you can show your class mates how to do it if they have a similar calculator to you).
  • 38a, read the box for 38b. This is a useful result. It will come up again, I promise!
  • 56, 57, 59, 61

7.5 The Graphs of the Sine and Cosine functions.

Video 7: The graphs of y=Asin(Bx) and y=Acos(Bx)

Assignment 7.5

  • 1,3, (5 and 7 are optional),11,12,13,15
  • 17-29 odd
  • 40-45 all

Assignment 7.6

  • 1,3

7.7 The Graphs of the Tangent and reciprocal functions.

Video 8: Limit notation and asymptote warm-up.

Video 9: Graph of tangent function

Assignment 7.7

  • 1,5,11,13,21,29-33 odd, 35,37

Assignment: Chapter 7 Mini Boss

  • Writing Mathematics; p. 572, #1 (yes, all of it. Complete this without collaborating before you discuss it with classmates.)
  • Practice test starting on p. 575