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