Trigonometry

Incarcat la data: 19 Aprilie 2011

Autor: Admin

By Salman Khan - Khan Academy
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

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