Other relationships between quadrants are developed. Periodicity of functions is introduced. © 2008 by Raymond E. Griffith.
Videos from my course lectures. The course is Precalculus Trigonometry and is being delivered through interactive television.
29:46
172 6_3_2 Double_Half Angle & Power Reducing Formulas M2U00430.mp4
Constructing half-angle identities from double-angle identities. 29m46s © 2008 by Raymond E. Griffith.
19:01
172 6_3_1 Cofunctions and Double Angle Identities M2U00429.mp4
Development of cofunction, double angle, and half-angle identities. These relationships are developed from other relationships already known. 19m01s © 2008 by Raymond E. Griffith.
28:54
172 6_2_3 Sum and Difference Formulas M2U00428.mp4
Development of the Sum and Difference formulas from cos(a+b). No formulas appear by magic, just by development from known relationships. 28m54s © 2008 by Raymond E. Griffith.
26:13
172 6_3_3 Formula Review and Geometry Perspective M2U00433.mp4
Review and use of the double-angle, power-reducing, and half-angle identities. We then construct a geometric proof that the angle inscribed in a circle subtending the arc is one-half of the central angle. This will help us set up a geometric proof of the half-angle identities. 26m13s © 2008 by Raymond E. Griffith.
19:19
Pythagorean Theorem & Distance Formula M2U00427.mp4
We develop the Pythagorean Theorem and the Distance Formula, two basic algebraic and geometric relationships. No need to take these on faith -- the reasoning behind the relationships is revealed.
21:49
172 6_2_2 Constructing cos(a-b) identity M2U00425.mp4
Creating the formula for cos(a-b) using unit-circle positions and the distance formula from algebra. 21:49 © 2008 by Raymond E. Griffith.
26:53
172 6_2_1 Constructing cos(a+b) identity M2U00423.mp4
Creating the formula for cos(a+b) using right-triangle trig relationships and a minimum of algebra. 26:53 © 2008 by Raymond E. Griffith.
16:30
172 6_1_7 HW Demonstrating Trig Identities M2U00422.mp4
The hard way and the easy way to do a problem. Even if you can't think of the easiest way to verify an identity, you can still get the job done. Later, you might see it even better. 16:30 © 2008 by Raymond E. Griffith.
22:00
172 6_1_6 HW Review and Use of Basic Trig Identities M2U00421.mp4
Trig Identities and a review of the basics. Even after we work with trig functions for a while, we still need to be reminded of the basic identities. We finish up this one with an identity that requires use of the difference of squares from algebra. 22:00 © 2008 by Raymond E. Griffith.
27:30
172 6_1_5 HW Demonstrating Trig Identities M2U00421a.mp4
Trig Identities and a review of the basics. Even after we work with trig functions for a while, we still need to be reminded of the basic identities. 27:30 © 2008 by Raymond E. Griffith.
08:23
172 6_1_4 Verifying Trig Identities (Short exercise in factoring) M2U00417.mp4
A horrible, mean, and awful identity exercise handled in short order when we utilize factoring by grouping. A reminder that most of the problems in this section are caused by algebraic difficulties, not by trig functions. 8:23 © 2008 by Raymond E. Griffith.
26:40
172 6_1_3 Verifying Trig Identities (Practice using HW) M2U00416.mp4
Homework exercises demonstrating the verification of trig identities. Practice using the "Candice Method." We remember how to do algebra as well. 26:40 © 2008 by Raymond E. Griffith.
27:25
172 6_1_2 Verifying Trig Identities (Practice using HW) M2U00416.mp4
Homework exercises demonstrating the verification of trig identities. Practice using the "Candice Method." We remember how to do algebra as well. 27:25 © 2008 by Raymond E. Griffith.
15:46
172 6_1_1 Verifying Trig Identities _ Where We Begin M2U00414.mp4
A review of basic identities we will use before we start verifying trig identities. 15:46 © 2008 by Raymond E. Griffith.
18:36
172 5_6_2 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4
Graphing transformations of tangent and cotangent. We use the graphing calculator, too. 18:36 © 2008 by Raymond E. Griffith.
18:36
172 5_6_2 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4
Graphing transformations of tangent and cotangent. We use the graphing calculator, too. 18:36 © 2008 by Raymond E. Griffith.
28:14
172 5_6_1 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4
We graph secant, cosecant, and tangent using sine and cosine functions. 28:14 © 2008 by Raymond E. Griffith.
28:38
172 5_5_4 Homework Graphing Trig Functions M2U00415.mp4
Graphing transformations of the cosine function. © 2008 by Raymond E. Griffith.
25:47
172 5_5_3 Graphing Transformations of the Sine Function M2U00412.mp4
Extending the graphing of trig functions. We demonstrate that the sine function looks the same despite transformations of shifting and/or stretching. We can graph the basic sine function and adjust our coordinate axes to fit the graph. 25:47 © 2008 by Raymond E. Griffith.
19:19
172 5_5_2 Graphing Trig Functions M2U00412.mp4
Extending the graphing of trig functions. We demonstrate that the sine function looks the same despite transformations of shifting and/or stretching. We can graph the basic sine function and adjust our coordinate axes to fit the graph. 19:19 © 2008 by Raymond E. Griffith.
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