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Completing the Square

Algebra Topic: Completing the Square and the Quadratic Formula

by:
rtgmath
views:
582
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in:
Precalculus Trigonometry
added:
12 mos ago
length:
37:57
file size:
290.19 MB
language:
English
tags:
algebra, math, quadratic, square
category:
Educational
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Precalculus Trigonometry

Precalculus Trigonometry

Videos from my course lectures. The course is Precalculus Trigonometry and is being delivered through interactive television.

by:
rtgmath
updated:
1 mo ago
videos:
67
category:
Educational
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  • 172 6_3_2 Double_Half Angle & Power Reducing Formulas M2U00430.mp4 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.

    by:
    rtgmath
    views:
    188
    added:
    8 mos ago
    language:
    English
  • 172 6_3_1 Cofunctions and Double Angle Identities M2U00429.mp4 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.

    by:
    rtgmath
    views:
    152
    added:
    8 mos ago
    language:
    English
  • 172 6_2_3 Sum and Difference Formulas M2U00428.mp4 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.

    by:
    rtgmath
    views:
    41
    added:
    8 mos ago
    language:
    English
  • 172 6_3_3 Formula Review and Geometry Perspective M2U00433.mp4 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.

    by:
    rtgmath
    views:
    64
    added:
    8 mos ago
  • Pythagorean Theorem & Distance Formula M2U00427.mp4 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.

    by:
    rtgmath
    views:
    75
    added:
    8 mos ago
    language:
    English
  • 172 6_2_2 Constructing cos(a-b) identity M2U00425.mp4 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.

    by:
    rtgmath
    views:
    44
    added:
    8 mos ago
    language:
    English
  • 172 6_2_1 Constructing cos(a+b) identity M2U00423.mp4 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.

    by:
    rtgmath
    views:
    44
    added:
    8 mos ago
    language:
    English
  • 172 6_1_7 HW Demonstrating Trig Identities M2U00422.mp4 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.

    by:
    rtgmath
    views:
    42
    added:
    8 mos ago
    language:
    English
  • 172 6_1_6 HW Review and Use of Basic Trig Identities M2U00421.mp4 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.

    by:
    rtgmath
    views:
    41
    added:
    8 mos ago
    language:
    English
  • 172 6_1_5 HW Demonstrating Trig Identities M2U00421a.mp4 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.

    by:
    rtgmath
    views:
    69
    added:
    8 mos ago
    language:
    English
  • 172 6_1_4 Verifying Trig Identities (Short exercise in factoring) M2U00417.mp4 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.

    by:
    rtgmath
    views:
    93
    added:
    8 mos ago
    language:
    English
  • 172 6_1_3 Verifying Trig Identities (Practice using HW) M2U00416.mp4 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.

    by:
    rtgmath
    views:
    99
    added:
    8 mos ago
    language:
    English
  • 172 6_1_2 Verifying Trig Identities (Practice using HW) M2U00416.mp4 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.

    by:
    rtgmath
    views:
    93
    added:
    8 mos ago
    language:
    English
  • 172 6_1_1 Verifying Trig Identities _ Where We Begin M2U00414.mp4 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.

    by:
    rtgmath
    views:
    52
    added:
    8 mos ago
    language:
    English
  • 172 5_6_2 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4 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.

    by:
    rtgmath
    views:
    23
    added:
    8 mos ago
    language:
    English
  • 172 5_6_2 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4 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.

    by:
    rtgmath
    views:
    18
    added:
    8 mos ago
    language:
    English
  • 172 5_6_1 Graphing Trig Functions other than Sine & Cosine M2U00413.mp4 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.

    by:
    rtgmath
    views:
    159
    added:
    8 mos ago
    language:
    English
  • 172 5_5_4 Homework Graphing Trig Functions M2U00415.mp4 28:38 172 5_5_4 Homework Graphing Trig Functions M2U00415.mp4

    Graphing transformations of the cosine function. © 2008 by Raymond E. Griffith.

    by:
    rtgmath
    views:
    11
    added:
    8 mos ago
    language:
    English
  • 172 5_5_3 Graphing Transformations of the Sine Function M2U00412.mp4 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.

    by:
    rtgmath
    views:
    25
    added:
    8 mos ago
    language:
    English
  • 172 5_5_2 Graphing Trig Functions M2U00412.mp4 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.

    by:
    rtgmath
    views:
    17
    added:
    8 mos ago
    language:
    English
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