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Lecture 1 | 08:44 | ||
An introduction to trigonometric functions: sine, cosine, and tangent. | |||
Lecture 2 | 05:54 | ||
Another example of figuring out the sine, cosine, and tangent of an angle in a right triangle | |||
Lecture 3 | 09:55 | ||
What a radian is. Converting radians to degrees and vice versa. | |||
Lecture 4 | 10:02 | ||
Using Trigonometric functions to solve the sides of a right triangle | |||
Lecture 5 | 08:37 | ||
A couple of more examples of using Trig functions to solve the sides of a triangle. | |||
Lecture 6 | 09:07 | ||
Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions. | |||
Lecture 7 | 10:11 | ||
Using the unit circle to define the sine, cosine, and tangent functions | |||
Lecture 8 | 07:44 | ||
Using the unit circle definition of the sine function to make a graph of it. | |||
Lecture 9 | 10:16 | ||
Exploring the graphs of trig functions | |||
Lecture 10 | 09:53 | ||
Analyzing the amplitude and periods of the sine and cosine functions. | |||
Lecture 11 | 05:12 | ||
Determining the equations of trig functions by inspecting their graphs. | |||
Lecture 12 | 09:51 | ||
Determining the amplitude and period of sine and cosine functions. | |||
Lecture 13 | 09:10 | ||
Introduction to trigonometric identities | |||
Lecture 14 | 09:48 | ||
Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b) | |||
Lecture 15 | 09:22 | ||
Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b) | |||
Lecture 16 | 09:56 | ||
More playing around with trig identities | |||
Lecture 17 | 08:35 | ||
Continuation of the playing around with trig identities | |||
Lecture 18 | 09:56 | ||
The first part of a problem when the captain of a ship goes off track. | |||
Lecture 19 | 02:51 | ||
The second part of the problem of the off-track ship captain | |||
Lecture 20 | 09:26 | ||
Introduction to the law of cosines to solve for a side of a triangle when 2 sides and an angle are known. | |||
Lecture 21 | 08:00 | ||
Trigonometry problem involving two ships colliding. | |||
Lecture 22 | 06:32 | ||
A simple proof of the Law of Sines | |||
Lecture 23 | 07:20 | ||
Trigonometry problems dealing with the height of two people on a ferris wheen | |||
Lecture 24 | 09:07 | ||
Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t) | |||
Lecture 25 | 10:01 | ||
A trig problem involving the quadratic equation. | |||
Lecture 26 | 10:20 | ||
Introduction to polar coordinates | |||
Lecture 27 | 09:31 | ||
Conversion from Cartesian to Polar Coordinates | |||
Lecture 28 | 07:37 | ||
Converting between Cartesian and Polar functions | |||
Lecture 29 | 10:36 | ||
Introduction to the inverse trig function arcsin | |||
Lecture 30 | 10:06 | ||
Understanding the arctan or inverse tangent function. | |||
Lecture 31 | 13:38 | ||
Understanding the inverse cosine or arccos function | |||
Lecture 32 | 11:07 | ||
Revisiting the proofs of some trigonometry identities. |
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