Mathematics 1B

Tuesday 8. September 2009
Auditorium M1.80

Program

09:00-10:20

Introduction to the course. Lecture on Edwards and Penny (E&P) Appendix C, Review of Trigonometry, page A-13 to A-17.

10:20-10:45

Introduction to the exercises.

10:45-12:30

Group work on text and exercises.

Exercises for 1. session and 2. session

E&P Appendix C, page A17-A18

Problems no. 1, 3, 7, 9, 11, 15, 17, 21, 26, 29, 37 (don't use the addition formula in part (c))

Prove the following formula:

sin(α)sin(β) = ½ (cos(α–β)–cos(α+β))

Hint: Start with the right hand side of the equation. Use the addition formula for cosine.

E&P Appendix C, page A17-A18

Problems no. 39, 41, 42, 43.

Formulas

Trigonometric identities involving sine and cosine.
Exact values for sine and cosine of various angles.

Illustrations

Sine and cosine by David Metz
Rotating Phasors by Cory Sharp