

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 276279.
 Complete Work Exercises, page 279280 #513 odd, 17, 2527 all.
 Quick Review sheet 31.
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 280282.
 Complete Work Exercises, pages 282283 #1,5, 917 odd, 21,23, 2935 odd, 41,45,49,50.
 Quick Review sheet 32.
Objective Three
Be able to find displacement and graph y = a sin (bx + c) and y = a cos (bx + c).
 Read 10.3, pages 283286.
 Complete Work Exercises, pages 286287 #1,3,5,9,11,13,29,30.
 Quick Review sheet 33.
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 //
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