Part 4 of the lecture introducing logarithmic functions and their properties. In this part we explore some homework exercises.
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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