PreCalculus

Chapter 3

Unit 3-1 Unit 3-2 Unit 3-3 Unit 3-4 Unit 3-5
Unit 3-1 Proving Trigonometric Identities Agenda
  1. Trigonometric Identities
  2. Pythagorean Identities
  3. Assignment 3-1: Pg 99 #1, 2, 4-13, 17, 18, 23
Unit 3-2 Trigonometric Identities & Factoring Agenda
  1. Screencast Review: Rules to Remember
    • Factoring by Guess & Check
    • Factoring by Grouping
    • Factoring to Simplify Rational Expressions
  2. Factoring Practice (pdf plus ones from keynote)
  3. Desmos Activity
  4. Assignment 3-2: Pg 108 #1-8,17-19 Part B #9-15
Unit 3-3 Agenda
  1. Composite (Sum and Difference) Identities for Sine and Cosine
    • sin(A + B) = sinAcosB + cosAsinB
    • sin(A – B) = sinAcosB cosAsinB
    • cos(A + B) = cosAcosB sinAsinB
    • cos(A – B) = cosAcosB + sinAsinB
  2. Using the Composite Identities to find missing angles
  3. Using the Composite Identities to find trigonometric values
  4. Assignment 3-3: Pg. 118 #1 a) b), 2 a) b), 3, 4, 5, 8, 10
Unit 3-4 Agenda
  1. Double Angle Identities
    • sin(2A) = 2sinAcosA
    • cos(2A) = cos2A– sin2B
    • cos(A + B) = 2cos2A – 1
    • cos(A – B) = 1 2sin2A
  2. Assignment 3-4: Pg. 124 #1, 2, 4, 9
Unit 3-5 Agenda
  1. Assignment 3-5:
Unit 3-6 Solving Equations with Identities and Algebra Agenda
  1. Solving problems that have mixed trig identities
  2. Using straight algebraic substitution to simplify
  3. Assignment 3-6: Pg. 138 #1, 2, 3, 7, 8, 9, 10, 18, 22