1. Section 2.1: Angles and Their Measure

a.Definitions/Formulas: Standard form of an angle and formula for arc length

b.Convert between D°M’S” and Decimal forms for angles: Chapter 2 Review (§R.2 = page 212-214) #82; §2.1 #23-33 odd

c.Convert from Degrees to Radians and from Radians to Degrees: §R.2 #1-8; Chapter 2 practice test (§T.2 = page 215-216) #1-6; §2.1 #37, 38, 43, 44, 48, 49, 52, 53, 54, 58

d.Find the Arc Length of a Circle: §R.2 #84; §2.1 #71-77 odd, 78, 91, 92, 101

  1. Section 2.2: Right Triangle Trigonometry

a.Definitions/Theorems: Pythagorean Theorem, Acute Angle, Trigonometric Functions, Fundamental Identities

b.Find the Values of Trigonometric Functions of Acute Angles: §R.2 #75; §2.2 # 11, 13, 16, 18, 19, 23

c.Use the Fundamental Identities: §R.2 #21-26; §T.2 #11, 12; §2.2 #4-10, 37-49 odd

d.Find the Remaining Trigonometric Functions, given the value of one of them: §R.2 #31-32; §2.2 #28, 29, 31, 34, 57, 60, 64

  1. Section 2.3: Applications of Right Triangle Trigonometry only

a.Definitions: Angle of elevation and angle of depression

b.Applications and Extensions of Right Triangle Trigonometry: §R.2 #89, 91, 92, 93; §T.2 #31; §2.2 #67(a)-(c); §2.3 #55-65 odd and 69

  1. Section 2.5: Unit Circle Approach; Properties of Trigonometric Functions

a.Definitions/Properties: KNOW angle measures and points around unit circle, know domain and range of Sine, Cosine, and Tangent, periodic and even/odd properties

b.Find the Exact Values of the Trigonometric Functions Using the Unit Circle: §R.2 #80; §T.2 #7, 10; §2.5 #9-14 all

c.Use Periodic Properties to find the exact values of the Trigonometric Functions: §R.2 #19-20; §T.2 #8, 9; §2.5 #29-36 all

d.Use the Even-Odd Properties to find the exact values of the trigonometric functions: §R.2 #13-17 odd; §T.2 #8, 9; §2.5 #45-54 all

  1. Section 2.4: Trigonometric Functions of General Angles

a.Definitions/Properties: Coterminal angles, reference angles, signs of the trigonometric functions of an angle in a given quadrant

b.Find the exact values of the trigonometric functions for general angles: §R.2 #77; §T.2 #22-24; §2.4 #15

c.Determine the signs of the trigonometric functions of an angle in a given quadrant: §R.2 #78; §T.2 #17; §2.4 #33-38 all

d.Find the reference angle of a general angle: §R.2 #79; §2.4 #43-57 odd

e.Find the exact value of a trigonometric function

  1. Using Coterminal Angles: §R.2 #19-20
  2. Using Reference Angles: §R.2 #13-16, 19; §2.4 #3, 75, 76, 79, 80, 85, 88
  3. Given Information about the functions: §R.2 #31-45 odd; §T.2 #19-21; §2.4 #97-101 all, 104, 106
  1. Section 2.6: Graphs of the Sine and Cosine Functions:

a.Definitions/Properties: properties of the Sine and Cosine graphs, amplitude, and period

b.Determine the Amplitude and Period of Sinusoidal Functions: Review Chapter 2 (§R.2 pg 212-213) #59-62; §2.6 #43, 45

c.Graph Transformations of Sinusoidal Functions using key points: §R.2 #47-50; Chapter Test (§T.2 pg 215-216) #25; §2.6 # 28, 30, 33, 36

d.Find an Equation for a Sinusoidal Graph: §R.2 #71-74 (as a Sine graph and as a Cosine graph); §2.6 #19-20, 47-55 odd, 75-83 odd, 84

  1. Section 2.8: Phase Shift:

a.Definitions: amplitude, period, and phase shift

b.Graph Sinusoidal functions of the form or , using Amplitude, Period, and Phase Shift: §R.2 #63-70all, 95; §2.6 #75 & 77 & 80 as sine graphs with phase shifts, #78 & 79 & 81 & 84 as cosine graphs with phase shifts; §2.8 3, 5, 7, 19

c.Determine an Equation for a sinusoidal graph given information about its amplitude, period, and phase shift: §T.2 #27; §2.8 #15-18all

  1. Section 2.7: Tangent Function

a.Definitions/Properties: Properties of Tangent Function

b.Graph and Properties of the Tangent Function: §2.7 #1-3all, 7, 15

  1. Section 3.1: The Inverse Sine, Cosine, and Tangent Functions:

a.Definitions/Properties: Properties of One-to-one function and its inverse, domain and range of the inverse Sine, Cosine, and Tangent Functions

b.Find the Exact Value of the Inverse Sine, Cosine, and Tangent Functions: Review Chapter 3 (§R.3 pg 284-286) #1-6all; Chapter 3 Test (§T.3 pg 286) #2; §3.1 #13-24all

c.Determine if an equation is valid using properties of the Sine, Cosine, and Tangent Functions and their inverses: §3.1 #45-56all

d.Find an approximate value of the Inverse Sine, Cosine, and Tangent Functions: §R.3 #101-104all; §T.3 #7-9all; §3.1 #25-35odd

  1. Section 3.2: The Inverse Trigonometric Functions (Continued):

a.Definitions/Properties: Domain and range of the Inverse Secant, Cosecant, and Cotangent Functions

b.Find the Exact Values of Expressions Involving the Inverse Sine, Cosine, and Tangent Functions: §R.3 #9-20all; §T.3 #3-6all; §3.2 #9-33odd, 32

c.Know the Definition of the Inverse Secant, Cosecant, and Cotangent Functions: §R.3 #7 & 8; §3.2 #37-43odd

  1. Section 3.3: Trigonometric Identities:

a.Definitions/Properties: Basic Trigonometric Identities

b.Use Algebra to Simplify Trigonometric Expressions: §3.3 #9-18all,

c.Establish Identities: §R.3 #21-38all; §T.3 #11 & 12; §3.3 #9-37odd, 41, 45, 51-57odd, 61-73odd, 79, 83

  1. Section 3.4: Sum and Difference Formulas

a.Use Sum and Difference Formulas to find exact values: §3.4 #4-8, 9-29odd, and 31-37all

  1. Review Chapter 3 (§R.3 pg 284-286) #53-60all; 61-69odd (a)-(d)
  2. Chapter 3 Test (§T.3 pg 286) #17, 18, and 24;

b.Use Sum and Difference Formulas to Establish Identities: §3.4 #39-53odd

  1. §R.3 #39-41all; §T.3#14

c.Use Sum and Difference Formulas w/ inverse trig. functions: §3.4 #65-75odd

  1. §R.3 #71-74; §T.3 # 21
  1. Section 3.5: Double-angle and Half-angle Formulas

a.Use Double-angle Formulas to Find Exact Values: §3.5 #7-27odd, 57-61odd

  1. §R.3 #61-69odd (e)-(f), 75 and 76;§T.3 #20

b.Use Double-angle Formulas to Establish Identities: §3.5 #35-41odd

  1. §R.3#43-45all; §T.3 #13;

c.Use Half-angle Formulas to Find Exact Values:§3.5 #19-27odd, 45-49odd

  1. §R.3 #61-69odd (g)-(h);§T.3 #19
  1. Section 3.7: Trigonometric Equations (I)

a.Definitions/Properties: The domain, range, and period for all six trig. functions, and the key points on the unit circle.

b.Solve Equations Involving a Single Trig. Function: §3.7 #9-27odd, 31-39odd

  1. §R.3 #77-85odd; §T.3 #25
  1. Section 3.8: Trigonometric Equations (II)

a.Definitions/Properties: The domain, range, and period of all six trigonometric functions, the basic identities for the trig. functions, and the key points on the unit circle.

b.Solve Trig. Equations Quadratic in Form: §3.8 #5-9all, 31, 32

  1. §R.3 #93 and 94;§T.3 #29

c.Solve Trig. Equations Using Identities: §3.8 #13-16all, 23, 24, 33-40all

  1. §R.3 #87, 89, 91, 95, 97; §T.3 #27
  1. Section 4.1: Applications Involving Right Triangles

a.Definitions/Theorems: Pythagorean Theorem, angle of elevation, angle of depression, bearing from a point O to a point P.

b.Solve Right Triangles: §4.1 #9-21odd

  1. Review Chapter 4 (§R.4 pg 329-331) #1-4all

c.Solve Applied Problems: §4.1 #23-26all, 28-32all; §2.3 #69-74all

  1. §R.4 #36 and 46
  2. Chapter 4 Test (§T.4 pg 332) #1 and 2
  1. Section 4.2: The Law of Sines

a.Vocabulary/Concepts:Law of Sines and §4.2 #4-8

b.Solve SAA or ASA Triangles:§4.2 #9-23odd; §R.4 #5, 6 and 22; §T.4 #4, 6

c.Solve SSA Triangles: §4.2 #25-35odd; §R.4 #7, 9, 17, 18 and 21; §T.4 #7

d.Solve Applied Problems: §4.2 #37, 39, 40, 43, 48, 50, 56; §R.4 #37, 39 40

  1. Section 4.3: The Law of Cosine

a.Vocabulary/Concepts: Law of Cosine and §4.3 #3-8

b.Solve SAS Triangles: §4.3 #9, 11, 17-23odd; §R.4 #25-28; §T.4 #3

c.Solve SSS Triangles: §4.3 #13, 15, 25-31odd; §R.4 #29-32; §T.4 #5

d.Solve Applied Problems: §4.3 #33-37all; §R.4 #43 and 45; §T.4 #13