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LearnersTV - Trigonometry (Size: 593.78 MB)
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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 Sharing Widget |