| # |
Lecture |
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| I. Angles and Arc Length |
| 1 |
Finding the Quadrant in Which an Angle Lies - Example 1 (6:16) |
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| 2 |
Finding the Quadrant in Which an Angle Lies - Example 2 (4:54) |
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| 3 |
Finding the Quadrant in Which an Angle Lies - Example 3 (3:13) |
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| 4 |
Coterminal Angles - Example 1 (7:15) |
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| 5 |
Coterminal Angles - Example 2 (3:27) |
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| 6 |
Complementary and Supplementary Angles - Example 1 (4:01) |
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| 7 |
Complementary and Supplementary Angles - Example 2 (4:11) |
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| 8 |
Degrees and Radians and Converting Between Them! Example 1 (5:57) |
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| 9 |
Arc Length Formula - Example 1 (5:20) |
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| 10 |
Arc Length Formula - Example 2 (3:19) |
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| II. Trigonometric Functions |
| 11 |
Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 1 (6:24) |
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| 12 |
Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 2 (5:24) |
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| 13 |
Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 3 (2:09) |
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| 14 |
Finding an Angle Given the Value of a Trigonometric Function - Example 1 (3:46) |
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| 15 |
Finding an Angle Given the Value of a Trigonometric Function - Example 2 (1:58) |
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| 16 |
Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 1 (5:25) |
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| 17 |
Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 2 (3:11) |
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| 18 |
Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 3 (2:36) |
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| 19 |
Finding the Height of an Object Using Trigonometry, Example 1 (3:32) |
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| 20 |
Finding the Height of an Object Using Trigonometry, Example 2 (2:17) |
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| 21 |
Finding the Height of an Object Using Trigonometry, Example 3 (2:53) |
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| 22 |
Degrees and Radians (11:59) |
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| 23 |
A Way to remember the Entire Unit Circle for Trigonometry (7:19) |
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| 24 |
A Trick to Remember Values on The Unit Circle (4:32) |
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| 25 |
Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 1 (2:57) |
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| 26 |
Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 2 (4:01) |
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| 27 |
Reference Angle for an Angle, Ex 1 (Using Degrees) (5:45) |
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| 28 |
Reference Angle for an Angle, Ex 2 (Using Radians) (7:12) |
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| 29 |
Evaluating Trigonometric Functions Using the Reference Angle, Example 1 (7:47) |
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| 30 |
Evaluating Trigonometric Functions Using the Reference Angle, Example 2 (6:29) |
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| 31 |
Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 1 (3:04) |
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| 32 |
Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 2 (4:49) |
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| 33 |
Evaluating Trigonometric Functions at Important Angles, Ex 1 (9:49) |
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| 34 |
Evaluating Trigonometric Functions at Important Angles, Ex 2 (5:38) |
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| III. Graphing Trigonometric Functions |
| 35 |
The Graph of Cosine, y = cos (x) (9:58) |
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| 36 |
Graphing Sine and Cosine With Different Coefficients (Amplitude and Period), Ex 1 (3:04) |
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| 37 |
Graphing y = -2 cos(2x) (5:00) |
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| 38 |
Maximum and Minimum Values of Sine and Cosine Functions, Ex 1 (3:34) |
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| 39 |
Maximum and Minimum Values of Sine and Cosine Functions, Ex 2 (7:49) |
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| 40 |
Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 1 (3:25) |
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| 41 |
Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2 (6:21) |
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| 42 |
Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2 (4:50) |
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| 43 |
Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 1 (4:17) |
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| 44 |
Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 2 (4:33) |
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| 45 |
Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 4 (8:10) |
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| 46 |
Finding a Formula for a Trigonometric Graph, Ex 1 (4:23) |
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| 47 |
Finding a Formula for a Trigonometric Graph, Ex 2 (3:01) |
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| 48 |
Trigonometry Word Problem, Finding The Height of a Building, Example 1 (7:31) |
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| 49 |
Trigonometry Word Problem, Example 2 (2:13) |
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| 50 |
Trigonometry Word Problem, Determining the Speed of a Boat, Example 3 (8:28) |
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| IV. Simplifying Trigonometric Expressions |
| 51 |
Simplifying Trigonometric Expressions Using Identities, Example 1 (1:05) |
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| 52 |
Simplifying Trigonometric Expressions Using Identities, Example 2 (3:23) |
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| 53 |
Simplifying Trigonometric Expressions Using Identities, Example 3 (3:29) |
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| 54 |
Simplifying Trigonometric Expressions Involving Fractions, Ex 1 (3:47) |
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| 55 |
Simplifying Trigonometric Expressions Involving Fractions, Example 2 (8:05) |
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| 56 |
Simplifying Products of Binomials Involving Trigonometric Functions, Ex 1 (3:24) |
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| 57 |
Simplifying Products of Binomials Involving Trigonometric Functions, Ex 2 (3:41) |
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| 58 |
Factoring Trigonometric Expressions, Example 1 (3:46) |
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| 59 |
Factoring and Simplifying Trigonometric Expressions - Example 2 (2:12) |
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| V. Even and Odd Functions |
| 60 |
Examples with Trigonometric Functions: Even, Odd or Neither, Example 1 (5:40) |
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| 61 |
Examples with Trigonometric Functions: Even, Odd or Neither, Example 2 (2:18) |
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| 62 |
Examples with Trigonometric Functions: Even, Odd or Neither, Example 3 (2:11) |
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| 63 |
Even, Odd or Neither, Trigonometric Functions, Example 4 (2:07) |
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| 64 |
Proving an Identity, Example 1 (3:35) |
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| 65 |
Proving an Identity, Example 2 (5:12) |
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| 66 |
Proving an Identity - Other Examples, Example 1 (2:30) |
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| 67 |
Proving an Identity - Other Examples, Example 2 (1:34) |
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| 68 |
Solving a Basic Trigonometric Equation, Example 1 (2:28) |
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| 69 |
Solving a Basic Trigonometric Equation, Example 2 (5:00) |
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| 70 |
Solving a Basic Trigonometric Equation, Example 3 (2:37) |
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| 71 |
Solve Trigonometric Equation by Factoring, Example 1 (3:02) |
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| 72 |
Solving a Trigonometric Equation by Factoring, Example 2 (2:55) |
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| 73 |
Solving a Trigonometric Equation by Factoring, Example 3 (2:11) |
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| 74 |
Solving Trigonometric Equation, Harder Example - Example 1 (8:56) |
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| 75 |
Solving Trigonometric Equation, Harder Example - Example 2 (7:07) |
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| 76 |
Solving Trigonometric Equation , Harder Exampe - Example 3 (3:03) |
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| 77 |
Solving Trigonometric Equations Using the Quadratic Formula - Example 1 (3:57) |
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| 78 |
Solving Trigonometric Equations Using the Quadratic Formula - Example 2 (8:46) |
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| 79 |
Solving Trigonometric Equations Using the Quadratic Formula - Example 3 (11:07) |
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| 80 |
Solving Word Problems Involving Trigonometric Equations, Example 1 (9:20) |
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| 81 |
Solving Word Problems Involving Trigonometric Equations, Example 2 (11:35) |
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| VI. Sum and Difference Trig Identities |
| 82 |
Identities for Sum and Differences of Sine and Cosine, Example 1 (3:15) |
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| 83 |
Identities for Sum and Differences of Sine and Cosine, Example 2 (1:57) |
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| 84 |
Identities for Sum and Differences of Sine and Cosine, Example 3 (6:09) |
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| 85 |
Sum and Difference Identities for Sine and Cosine, More Examples #1 (2:44) |
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| 86 |
Sum and Difference Identities for Sine and Cosine, More Examples #2 (2:40) |
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| 87 |
Sum and Difference Identities for Sine and Cosine, More Examples #3 (8:18) |
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| 88 |
Sum and Difference Identities to Simplify an Expression, Example 1 (1:13) |
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| 89 |
Sum and Difference Identities to Simplify an Expression, Example 2 (1:48) |
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| 90 |
Sum and Difference Identities to Simplify an Expression, Example 3 (1:46) |
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| 91 |
Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 1 (5:17) |
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| 92 |
Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 2 (3:14) |
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| 93 |
Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 3 (2:31) |
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| VII. Double Angle Trig Identities |
| 94 |
Using Double Angle Identities to Solve Equations, Example 1 (7:25) |
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| 95 |
Using Double Angle Identities to Solve Equations, Example 2 (2:12) |
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| 96 |
Using Double Angle Identities to Solve Equations, Example 3 (3:14) |
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| 97 |
Word Problems Involving Multiple Angle Identities, Example 1 (5:43) |
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| 98 |
Word Problems Involving Multiple Angle Identities, Example 2 (4:53) |
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| 99 |
Word Problems Involving Multiple Angle Identities, Example 3 (2:07) |
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| 100 |
Cofunction Identities, Example 2 (2:36) |
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| 101 |
Cofunction Identities, Example 3 (:54) |
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| 102 |
Power Reducing Formulas for Sine and Cosine, Example 1 (6:02) |
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| 103 |
Power Reducing Formulas for Sine and Cosine, Example 2 (5:57) |
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| 104 |
Half Angle Identities to Evaluate Trigonometric Expressions, Example 1 (2:37) |
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| 105 |
Half Angle Identities to Evaluate Trigonometric Expressions, Example 2 (2:40) |
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| 106 |
Half Angle Identities to Evaluate Trigonometric Expressions, Example 3 (2:18) |
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| VIII. Law of Sines |
| 107 |
The Law of Sines, Example 1 (3:55) |
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| 108 |
The Law of Sines, Example 2 (3:23) |
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| 109 |
Law of Sines, Example 3 (6:22) |
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| 110 |
Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 1 (5:23) |
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| 111 |
Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 2 (3:28) |
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| 112 |
Solving a Triangle, SSA, Example 1 (5:25) |
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| 113 |
Solving a Triangle, SSA, Example 2 (5:11) |
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| 114 |
Law of Sines - Application/Word Problem, Ex 1 (2:47) |
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| 115 |
Law of Sines - Application / Word Problem, Ex 2 (7:58) |
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| 116 |
Law of Sines - Application/Word Problem, Ex 3 (6:27) |
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| 117 |
Heron's Formula, Example 1 (5:06) |
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| 118 |
Heron's Formula, Ex 2 (4:00) |
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| 119 |
Heron's Formula, Example 3 (8:06) |
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| IX. Law of Cosines |
| 120 |
Law of Cosines, Example 1 (5:06) |
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| 121 |
Law of Cosines, Example 2 (4:26) |
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| 122 |
Law of Cosines, Example 3 (2:43) |
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| 123 |
Law of Cosines, Example 4 (4:27) |
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| 124 |
Law of Cosines, Example 5 (2:06) |
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| 125 |
Law of Cosines, Example 6 (3:48) |
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| 126 |
Law of Cosines, Word Problem #1 (4:03) |
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| X. Vectors |
| 127 |
An Introduction to Vectors, Part 1 (4:46) |
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| 128 |
When Are Two Vectors Considered to Be the Same? (2:03) |
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| 129 |
Magnitude and Direction of a Vector, Example 1 (3:58) |
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| 130 |
Magnitude and Direction of a Vector, Example 2 (3:46) |
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| 131 |
Magnitude and Direction of a Vector, Example 3 (6:05) |
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| 132 |
Vector Addition and Scalar Multiplication, Example 1 (3:24) |
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| 133 |
Vector Addition and Scalar Multiplication, Example 2 (3:52) |
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| 134 |
Finding the Components of a Vector, Ex 1 (2:38) |
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| 135 |
Finding the Components of a Vector, Ex 2 (6:34) |
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| 136 |
Finding a Unit Vector, Ex 1 (2:07) |
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| 137 |
Finding a Unit Vector, Ex 2 (4:55) |
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| 138 |
Word Problems Involving Velocity or Other Forces (Vectors), Ex 1 (3:10) |
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| 139 |
Word Problems Involving Velocity or Other Forces (Vectors), Ex 2 (11:29) |
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| 140 |
Word Problems Involving Velocity or Other Forces (Vectors), Ex 3. (2:10) |
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| XI. Complex Numbers & Trigonometry |
| 141 |
Complex Numbers: Graphing and Finding the Modulus, Ex 1 (3:40) |
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| 142 |
Complex Numbers: Graphing and Finding the Modulus, Ex 2 (3:51) |
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| 143 |
Expressing a Complex Number in Trigonometric or Polar Form, Ex 1 (3:31) |
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| 144 |
Expressing a Complex Number in Trigonometric or Polar Form, Ex 2 (2:04) |
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| 145 |
Expressing a Complex Number in Trigonometric or Polar Form, Ex 3 (4:38) |
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| 146 |
Complex Numbers: Convert From Polar to Complex Form, Ex 1 (2:18) |
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| 147 |
Complex Numbers: Multiplying and Dividing in Polar Form, Ex 1 (3:27) |
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| 148 |
Complex Numbers: Multiplying and Dividing in Polar Form, Ex 2 (3:17) |
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| 149 |
DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 1 (2:18) |
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| 150 |
DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 2 (11:48) |
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| 151 |
DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 3 (4:16) |
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| 152 |
Roots of Complex Numbers, Ex 1 (6:01) |
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| 153 |
Roots of Complex Numbers, Ex 2 (6:22) |
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| 154 |
Roots of Complex Numbers, Ex 3 (8:19) |
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| 155 |
More Roots of Complex Numbers, Ex 1 (9:47) |
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| 156 |
More Roots of Complex Numbers, Ex 2 (9:43) |
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| 157 |
Roots of Unity, Example 1 (3:19) |
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| 158 |
Roots of Unity, Ex 2 (5:48) |
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| XII. Polar Coordinates |
| 159 |
Intro to Polar Coordinates, Ex 1 (3:49) |
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| 160 |
Converting Between Polar and Rectangular (Cartesian) Coordinates, Ex 3 (4:18) |
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| 161 |
Converting Between Polar and Rectangular Equations, Ex 1 (1:48) |
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| 162 |
Converting Between Polar and Rectangular Equations, Ex 2 (4:48) |
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| 163 |
Converting Between Polar and Rectangular Equations, Ex 3 (4:26) |
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| 164 |
Graphing Simple Polar Equations, Ex 1 (2:30) |
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| 165 |
Graphing Simple Polar Equations, Ex 2 (3:26) |
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| 166 |
Graphing Special Polar Equations, Ex 1 (2:06) |
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| 167 |
Graphing Special Polar Equations; How Many Petals Will a Graph Have? (1:51) |
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| 168 |
Basic Info About a Limacon (2:27) |
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