LearnersTV - Trigonometry

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  • TypeTutorials
  • LanguageEnglish
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  • Last checkedJun. 13th '18
  • Date uploadedJun. 20th '16
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LearnersTV - Trigonometry Lectures

The goal of this course is to prepare you for the trigonometry that you will encounter in calculus. During this one credit course in trigonometry, you will learn how to evaluate trigonometric functions, sketch the graphs of the sine, cosine and tangent functions, study the inverse trigonometric functions and much more. Course covers the Cartesian coordinate system, functions, angle and radian measure, special right triangles, the unit circle, the trigonometric ratios, graphs of trig. ratios, periodic functions, fundamental trigonometric identities and inverse trigonometric functions.

An Intro to the Cartesian Coordinate System-Plotting points
Length: 5m 00s

The Pythagorean Theorem-Pythagorean triples
Length: 5m 44s

The Distance Formula
Length: 6m 44s

Determining if three in the plane make up a right triangle
Length: 4m 47s

Another example using the distance formula
Length: 6m 37s

The definition of a function
Length: 7m 54s

Determining if a graph represents a function
Length: 7m 23s

Finding the Domain and Range using the graph of a function
Length: 7m 23s

Evaluating a function
Length: 6m 25s

Finding the Domain of a Function
Length: 7m 10s

A Library of Function
Length: 5m 34s

Horizontal and Vertical Shifts
Length: 6m 27s

Stretches and Compressions
Length: 6m 10s

Reflections across the x or y axis
Length: 3m 54s

Examples
Length: 8m 30s

How to measure an angle
Length: 5m 52s

Coterminal angles
Length: 7m 28s

Central Angles and the definition of a radian
Length: 8m 59s

Converting degrees into radians
Length: 5m 12s

Converting radians into degrees
Length: 4m 31s

The 45-45-90 right triangle
Length: 3m 04s

The 30-60-90 and 60-30-90 right triangles
Length: 2m 51s

Similar Triangles
Length: 5m 32s

Finding the missing sides of the special right triangles
Length: 7m 10s

The Unit Circle
Length: 7m 14s

Given an angle, find corresponding points on the unit circle
Length: 12m 08s

The first three trigonometric ratios (sin,cos,tan)
Length: 8m 14s

Three more trigonometric ratios (csc, sec, cot)
Length: 5m 09s

Evaluating the Trig ratios using the unit circle
Length: 6m 54s

Evaluating the Trig ratios at 0,90,180,270,360
Length: 6m 27s

Evaluating the Trig ratios at increments of 45 degrees
Length: 9m 38s

Evaluating the Trig ratios at increments of 30 degrees
Length: 10m 47s

Evaluating the Trig ratios at increments of 60 degrees
Length: 4m 19s

Finding the missing sides and areas of right triangles
Length: 7m 35s

Equations of lines
Length: 6m 44s

The graph of f(x) = sin x
Length: 5m 33s

The graph of f(x) = cos x
Length: 4m 30s

The graph of f(x) = tan x
Length: 7m 22s

The definition of amplitude of a sine and cosine function
Length: 1m 48s

Graphing sine and cosine functions with amplitude other than
Length: 7m 38s

The definition of period
Length: 2m 57s

Graphing y=sinbx or y=cosbx
Length: 5m 17s

Vertical Translations
Length: 5m 28s

Horizontal Translations and the definition of phase shift
Length: 6m 06s

Sketching functions of the form Y=a sin (x-b) + c
Length: 6m 46s

Sketching functions of the form Y=a sin b(x-c) + d
Length: 7m 13s

Reciprocal and Quotient Identities
Length: 6m 13s

Pythagorean identities
Length: 5m 53s

Verifying Trigonometric Identities
Length: 10m 12s

A review of 1-1 functions
Length: 3m 44s

Inverse functions and some examples
Length: 5m 31s

Properties of inverse functions
Length: 5m 39s

The definition of the inverse sine function
Length: 12m 43s

The definition of the inverse cosine function
Length: 8m 18s

The definition of the inverse tangent function
Length: 10m 45s

Expressions involving inverse functions values
Length: 8m 24s

Files:

  • 53 - The definition of the inverse sine.MKV (30.7 MB)
  • 32 - Evaluating the Trig ratios at increments of 30 degrees.MKV (26.0 MB)
  • 55 - The definition of the inverse tangent function.MKV (26.0 MB)
  • 31 - Evaluating the Trig ratios at increments of 45 degrees.MKV (23.2 MB)
  • 56 - Expressions involving inverse functions values..MKV (20.3 MB)
  • 26 - Given an angle, find corresponding points on the unit circle.MKV (15.8 MB)
  • 30 - Evaluating the Trig ratios using the unit circle.MKV (15.6 MB)
  • 49 - Verifying Trigonometric Identities.MKV (15.0 MB)
  • 47 - Reciprocal and Quotient Identities.MKV (15.0 MB)
  • 13 - Stretches and Compressions.MP4 (14.9 MB)
  • 44 - Horizontal Translations and the definition of phase shift.MKV (14.7 MB)
  • 48 - Pythagorean identities.MKV (14.2 MB)
  • 52 - Properties of inverse functions.MKV (13.7 MB)
  • 51 - Inverse functions and some examples.MKV (13.3 MB)
  • 43 - Vertical Translations.MKV (13.1 MB)
  • 42 - Graphing y=sinbx or y=cosbx.MKV (12.7 MB)
  • 28 - Three more trigonometric ratios (csc, sec, cot).MKV (12.5 MB)
  • 19 - Converting degrees into radians.MKV (12.5 MB)
  • 06 - The definition of a function.MKV (11.8 MB)
  • 27 - The first three trigonometric ratios (sin,cos,tan).MKV (11.4 MB)
  • 46 - Sketching functions of the form Y=a sin b(x-c) + d.MKV (10.9 MB)
  • 20 - Converting radians into degrees.MKV (10.8 MB)
  • 33 - Evaluating the Trig ratios at increments of 60 degrees.MKV (10.4 MB)
  • 15 - Examples.MKV (10.3 MB)
  • 07 - Determining if a graph represents a function.MKV (10.3 MB)
  • 40 - Graphing sine and cosine functions with amplitude other than.MKV (10.1 MB)
  • 08 - Finding the Domain and Range using the graph of a function.MKV (10.1 MB)
  • 17 - Coterminal angles.MKV (10.1 MB)
  • 45 - Sketching functions of the form Y=a sin (x-b) + c.MKV (10.1 MB)
  • 38 - The graph of f(x) = tan x.MKV (9.9 MB)
  • 29 - Evaluating the Trig ratios using the unit circle.MKV (9.1 MB)
  • 50 - A review of 1-1 functions.MKV (9.0 MB)
  • 03 - The Distance Formula.MKV (9.0 MB)
  • 24 - Finding the missing sides of the special right triangles.MKV (8.9 MB)
  • 25 - The Unit Circle.MKV (8.9 MB)
  • 18 - Central Angles and the definition of a radian.MKV (8.7 MB)
  • 35 - Equations of lines.MKV (8.5 MB)
  • 09 - Evaluating a function.MKV (8.4 MB)
  • 16 - How to measure an angle.MKV (8.1 MB)
  • 11 - A Library of Function.MKV (7.5 MB)
  • 23 - Similar Triangles.MKV (7.2 MB)
  • 36 - The graph of f(x) = sin x.MKV (7.2 MB)
  • 10 - Finding the Domain of a Function.MKV (6.6 MB)
  • 05 - Another example using the distance formula.MKV (6.4 MB)
  • 01 - An Intro to the Cartesian Coordinate System-Plotting points.mkv (6.3 MB)
  • 04 - Determining if three in the plane make up a right triangle.MKV (6.2 MB)
  • 12 - Horizontal and Vertical Shifts.MKV (6.1 MB)
  • 02 - The Pythagorean Theorem-Pythagorean triples.MKV (5.5 MB)
  • 37 - The graph of f(x) = cos x.MKV (4.0 MB)
  • 14 - Reflections across the x or y axis.MKV (3.9 MB)
  • 21 - The 45-45-90 right triangle.MKV (3.8 MB)
  • 41 - The definition of period.MKV (3.6 MB)
  • 22 - The 30-60-90 and 60-30-90 right triangles.MKV (3.5 MB)
  • 39 - The definition of amplitude of a sine and cosine function.MKV (2.1 MB)

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