Unit 3
Graphs of Trigonometric Functions and Fundamental Trigonometric Identities

Unit Objective
Sketch the graph of y = a sin (bx + c) and y = a cos (bx + c), recognize the graph of the other four trigonometric functions. Know and manipulate expressions involving the fundamental trigonometric identities. This unit should take no more than 2 weeks to complete.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation
The unit test will be a pencil and paper exam given at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.


Objective One
Be able to graph sines and cosines with different amplitudes.

  • Read 10.1, pages 276-279.
  • Complete Work Exercises, page 279-280 #5-13 odd, 17, 25-27 all.
  • Quick Review sheet 3-1.


Objective Two
Be able to graph y = a sin bx and y = a cos bx and determine amplitude and period from the equation.

  • Read 10.2, pages 280-282.
  • Complete Work Exercises, pages 282-283 #1,5, 9-17 odd, 21,23, 29-35 odd, 41,45,49,50.
  • Quick Review sheet 3-2.


Objective Three
Be able to find displacement and graph y = a sin (bx + c) and y = a cos (bx + c).

  • Read 10.3, pages 283-286.
  • Complete Work Exercises, pages 286-287 #1,3,5,9,11,13,29,30.
  • Quick Review sheet 3-3.


Objective Four
Be able to graph y = tan x, y = cot x, y = sec x, and y = csc x.



Objective Five
Learn the basic trigonometric identities and be able to prove identities.

Worksheets




Course Outline // Home Page

 
Copyright 1996 by B. Chambers and P. Lowry. All Rights Reserved.