# Trigonometry, Polar Coordinates, & Complex Numbers

### Course Description

In this series, the very helpful and fun math teacher Mr. Tarrou teaches students an entire course on trigonometry from start to finish, and on top of that, provides a comprehensive and easy to understand introduction to polar coordinates, vectors, and complex numbers. His videos are friendly, easy to understand, entertaining, and very well organized, all thanks to Mr. Tarrou great dedication to teaching and enthusiasm for mathematics.

Trigonometry is not the sole topic tackled in this high school course. Mr. Tarrou also covers polar coordinates and complex numbers. In this picture, Mr. Tarrou shows how to graph Rose Curves in Lecture 45: Graphing Polar Equations.
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### Video Lectures & Study Materials

Visit the official course website for more study materials: http://www.profrobbob.com/trigonometry

# Lecture Play Lecture
1 Standard Position Angles & Radians Part 1 (13:39) Play Video
2 Standard Position Angles & Radians Part 2 (11:19) Play Video
3 Angle Measures in Degrees Minutes & Seconds DMS (18:28) Play Video
4 Setting up the Unit Circle Part 1 and Reference Angle (14:19) Play Video
5 Setting Up the Unit Circle Part 2 (14:59) Play Video
6 Linear & Angular Speed Part 1 (13:22) Play Video
7 Linear & Angular Speed Part 2 (6:03) Play Video
8 Evaluating Trig Functions w/ Unit Circle Degrees & Radians (13:54) Play Video
9 Fundamental Trigonometric Identities Intro & Proofs (14:03) Play Video
10 Trig Expressions & Finding Trig Functions Given another Trig Ratio (13:49) Play Video
11 Right Triangle Trigonometry Part 1 (13:48) Play Video
12 Right Triangle Trigonometry Part 2 (4:23) Play Video
13 Trigonometric Cofunctions (10:11) Play Video
14 Trigonometric Functions of Any Angle (14:57) Play Video
15 Understanding Basic Sine & Cosine Graphs (14:37) Play Video
16 Graphing Sine & Cosine w/out a Calculator Pt1 (14:32) Play Video
17 Graphing Sine & Cosine w/out a Calculator Pt 2 (15:01) Play Video
18 Equation of Sine and Cosine from a Graph (33:33) Play Video
19 Water Depth Word Problem Modeled with Cosine Sine Function (17:35) Play Video
20 Intro Tangent & Cotangent Graphs (14:23) Play Video
21 Tangent & Cotangent Graphs w/ Transformations (11:12) Play Video
22 Graphing Secant & Cosecant w/ t-table (15:02) Play Video
23 Evaluating Inverse Trigonometric Functions (23:28) Play Video
24 Verifying Trigonometric Identities Pt 1 (14:25) Play Video
25 Verifying Trigonometric Identities - Part I (13:41) Play Video
26 Verifying Trigonometric Identities - Part II (15:31) Play Video
27 Verifying Trigonometric Identities - Part III (9:10) Play Video
28 Sum and Difference Trigonometric Identities (14:55) Play Video
29 Verifying Trigonometric Identities Involving Sum & Difference (14:25) Play Video
30 Evaluating Trigonometry Expressions with Half and Double Angles Pt1 (16:41) Play Video
31 Evaluating Trigonometry Expressions with Half and Double Angles Pt2 (13:21) Play Video
32 Trigonometry Proofs Involving Half and Double Angles (17:35) Play Video
33 Trigonometric Equations Single Angle 0 to 2π Restriction (18:02) Play Video
34 Single Angle Trigonometric Equations All Solutions (19:48) Play Video
35 Trigonometric Equations Multiple Angles 0 to 2π Restriction (21:08) Play Video
36 Trigonometric Equations Multiple Angles All Solutions (12:43) Play Video
37 Oblique Triangles Law of Sines (19:54) Play Video
38 Ambiguous Case for Law of Sines (22:17) Play Video
39 Law of Cosines (14:24) Play Video
40 Area of oblique triangles SAS SSS Heron's Formula (5:46) Play Video
41 Applications of Law of Sines and Cosines (24:49) Play Video
42 Understanding Polar Coordinates (22:19) Play Video
43 Converting Coordinates between Polar and Rectangular Form (10:22) Play Video
44 Converting Equations Between Polar & Rectangular Form (24:20) Play Video
45 Graphing Polar Equations, Test for Symmetry & 4 Examples Corrected (1:00:48) Play Video
46 Complex Numbers in Polar Form (12:36) Play Video
47 Product & Quotient of Polar Complex Numbers (7:20) Play Video
48 De Moivre's Theorem powers of Polar Complex Numbers (14:59) Play Video
49 De Moivre's Theorem Roots of Polar Complex Numbers (19:06) Play Video
50 Introduction to Vectors (42:21) Play Video
51 Writing Vector in terms of Magnitude & Direction Example (9:35) Play Video
52 Vector Application Examples (34:26) Play Video
53 Dot Product & Angle Between Vectors (14:44) Play Video
54 Projection of a Vector onto another Vector (19:48) Play Video
55 Trigonometry Bearing Problems - 4 Examples (33:47) Play Video