Course Description:
Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.
Lectures:
Lecture 1 - Basic Trigonometry Part 1
An introduction to trigonometric functions: sine, cosine, and tangent.
Lecture 2 - Basic Trigonometry Part 2
Another example of figuring out the sine, cosine, and tangent of an angle in a right triangle.
Lecture 3 - Radians and Degrees
What a radian is. Converting radians to degrees and vice versa.
Lecture 4 - Using Trig Functions Part 1
Using Trigonometric functions to solve the sides of a right triangle.
Lecture 5 - Using Trig Functions Part 2
A couple of more examples of using Trig functions to solve the sides of a triangle.
Lecture 6 - The Unit Circle Definition of Trigonometric Functions Part 1
Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions.
Lecture 7 - The Unit Circle Definition of Trigonometric Functions Part 2
Using the unit circle to define the sine, cosine, and tangent functions.
Lecture 8 - Graph of the Sine Function
Using the unit circle definition of the sine function to make a graph of it.
Lecture 9 - Graph of the Trig Function
Exploring the graphs of trig functions.
Lecture 10 - Graphing Trig Functions
Analyzing the amplitude and periods of the sine and cosine functions.
Lecture 11 - Trig Graphs
Determining the equations of trig functions by inspecting their graphs.
Lecture 12 - Determining the Equation of a Trigonometric Function
Determining the amplitude and period of sine and cosine functions.
Lecture 13 - Trigonometric Identities Part 1
Introduction to trigonometric identities.
Lecture 14 - Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b).
Lecture 15 - Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b).
Lecture 16 - Trigonometric Identities Part 2
More playing around with trig identities.
Lecture 17 - Trigonometric Identities Part 3
Continuation of the playing around with trig identities.
Lecture 18 - Trigonometry Word Problems Part 1
The first part of a problem when the captain of a ship goes off track.
Lecture 19 - Trigonometry Word Problems Part 2
The second part of the problem of the off-track ship captain.
Lecture 20 - Law of Cosines
Introduction to the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.
Lecture 21 - Navigation Word Problem
Trigonometry problem involving two ships colliding.
Lecture 22 - Proof: Law of Sines
A simple proof of the Law of Sines.
Lecture 23 - Ferris Wheel Trig Problem Part 1
Trigonometry problems dealing with the height of two people on a ferris wheel.
Lecture 24 - Ferris Wheel Trig Problem Part 2
Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t).
Lecture 25 - Fun Trig Problem
A trig problem involving the quadratic equation.
Lecture 26 - Polar Coordinates Part 1
Introduction to polar coordinates.
Lecture 27 - Polar Coordinates Part 2
Conversion from Cartesian to Polar Coordinates.
Lecture 28 - Polar Coordinates Part 3
Converting between Cartesian and Polar functions.
Lecture 29 - Inverse Trig Functions: Arcsin
Introduction to the inverse trig function arcsin.
Lecture 30 - Inverse Trig Functions: Arctan
Understanding the arctan or inverse tangent function.
Lecture 31 - Inverse Trig Functions: Arccos
Understanding the inverse cosine or arccos function.
Lecture 32 - Trigonometry Identity Review/Fun
Revisiting the proofs of some trigonometry identities.
Source: http://academicearth.org/courses/trigonometry
