Welcome ICTCM Committee members! This page is what my Trig students saw last quarter. Please scroll down the page as the presentations are listed from the bottom of the page up.
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PowerPoint Presentations
The following are my PowerPoint presentations with an audio an attachment so now they are movies! Note: The links will not be active until the presentations have been assigned for homework.
The presentations need to be viewed in Internet Explorer. If you have Netscape or another browser, you may wish to download the free Flash player program located HERE.
Quick Access to the PowerPoint Presentations:
Descriptions and access to the PowerPoint Presentations:
PPP #13: right triangle trig definitions
This presentation moves from the circles of radius r directly into the right triangle trig definitions.
PPP #11: the graph of the cosecant function
This presentation shows how the basic definition of the cosecant function is related to the graph of y = csc x. The values of the line segments of sin x are recorded on a graph eventually giving the graph of y = csc x.
PPP #10: the graph of the sine function
This presentation shows how the basic definition of the sine function is related to the graph of y = sin x. The values of the line segments of sin x are recorded on a graph eventually giving the graph of y = sin x.
PPP #12: circles of radius r
This presentation shows the relationship between the definition of the trig functions (based upon the unit circle) and a circle of any given radius r.
PPP #8b: odd/even functions
This presentation uses the trig definitions to identify which trig functions are odd functions and which are even functions.
PPP #8a: Pythagorean trig identities
The presentation uses the trig definitions to develop the Pythagorean Identities.
PPP #9: relationship between the trig functions
This presentation uses similar triangles (proportions) to relate the sine and cosine functions to the other trig functions.
PPP #7: common angle - 60 degrees
In this presentation, the proof for the values of sin 60o and cos 60o is shown. Also included are some of the angles with a reference angle of 60o.
PPP #6: common angle - 30 degrees
In this presentation, the proof for the values of sin 30o and cos 30o is shown. Also included are some of the angles with a reference angle of 30o.
PPP #5: common angle - 45 degrees
In this presentation, the proof for the values of sin 45o and cos 45o is shown. The concept of a reference angle is introduced. Also included are some of the angles with a reference angle of 45o.
PPP #4: tangent & secant functions
This presentation shows the tangent and secant line segments as the angle moves from 0 to 2pi radians. The values of the functions are shown for the axial angles.
PPP #3: sine & cosine functions
This presentation shows the sine and cosine line segments as the angle moves from zero to 2pi radians. The values of the functions are shown for axial angles.
PPP #2: definitions in quadrants I - IV
This presentation shows (on the unit circle) the six trig functions in each quadrant. A list of which trig functions are positive and which are negative is given for each quadrant.
PPP #1: graphical trig definitions
This presentation introduces the trigonometric definitions and carefully identifies line segments on the unit circle. The lengths of the directed line segments are equal to the trig functions of the given angle. The trig definitions are shown for the first two quadrants.
