Buy and Download - LearnersTV Trigonometry Lectures

2015
LearnersTV
Dayna Rothman
1h 5m
English

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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