Trigonometry by sections I cover in my Trig class using the book Trigonometry by Dugopolsky, 3rd edition. To learn Trig, watch all these videos in order.
CHAPTER 1 - ANGLES AND THE TRIG FUNCTIONS
Section 1.1 - Angles and Degree Measure, including coterminal angles, degree, minutes, seconds, and arithmetic with degrees
Section 1.2 - Radian Measure, Arc Length, and Area of a Sector
Section 1.4 - The Trig Functions using the definition of an angle in standard position using ratios of x, y, and r.
Section 1.5 - Right Triangle Trigonometry - defining Trig functions for acute angles in a right triangle using ratios of the sides of a right triangle
Section 1.6: The Fundamental Identity and Reference Angles
CHAPTER 2: GRAPHS OF THE TRIGONOMETRIC FUNCTIONS
Chapter 2 HW for Spring 2014 Trig Math 130 Class
See attachments at bottom for Graphing Trig Packet.
Video Solutions for Graphing Handout (see attachment below):
Part 1:This video shows how to graph these 4 trig functions from a Graphing Handout: y=2sinx, y=(1/2)sinx, y= - sinx, y = -2sinx: http://youtu.be/fWp-zKH5sKQ
Sections 2.1 & 2.2 - The Unit Circle and Graphing Sine and Cosine Functions
Section 2.3 - Graphs of the Secant and Cosecant Functions
Section 2.4 - Graphs of the Tangent and Cotangent Functions
CHAPTER 3: TRIGONOMETRIC IDENTITIES
Section 3.1 - Basic Identities
Section 3.2 - Verifying Identities
Section 3.3 - Sum and Difference Identities for Cosine
Section 3.4 - Sum and Difference Identities for Sine and Tangent
Section 3.5 - Double Angle and Half Angle Identities
CHAPTER 4: THE INVERSE TRIGONOMETRIC FUNCTIONS
Section 4.1 - The Inverse Trigonometric Functions
Section 4.2 - Basic Sine, Cosine, and Tangent Equations
Section 4.3 - Multiple-Angle Equations
Section 4.4 - Trigonometric Equations of Quadratic Type, and more involved Trig equations
Solutions to Review Problems for a Trig Final covering topics from Chapters 1-4.