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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.

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  • Constructing half-angle identities from double-angle identities. 29m46s © 2008 by Raymond E. Griffith.


    by:
    rtgmath
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    268
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    12 mos ago
    language:
    English
  • Development of cofunction, double angle, and half-angle identities. These relationships are developed from other relationships already known. 19m01s © 2008 by Raymond E. Griffith.


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    rtgmath
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    228
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    12 mos ago
    language:
    English
  • 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.


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    rtgmath
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    110
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    12 mos ago
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    English
  • 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.


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    rtgmath
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    12 mos ago
  • 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.


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    rtgmath
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    144
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    12 mos ago
    language:
    English
  • Creating the formula for cos(a-b) using unit-circle positions and the distance formula from algebra. 21:49 © 2008 by Raymond E. Griffith.


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    rtgmath
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    80
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    12 mos ago
    language:
    English
  • Creating the formula for cos(a+b) using right-triangle trig relationships and a minimum of algebra. 26:53 © 2008 by Raymond E. Griffith.


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    rtgmath
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    81
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    12 mos ago
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    English
  • 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.


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    rtgmath
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    12 mos ago
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  • 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.


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    rtgmath
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    78
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    12 mos ago
    language:
    English
  • 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.


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    rtgmath
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    214
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    12 mos ago
    language:
    English
  • 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.


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    rtgmath
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    148
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    12 mos ago
    language:
    English
  • 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.


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    rtgmath
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    169
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    12 mos ago
    language:
    English
  • 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.


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    rtgmath
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    171
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    12 mos ago
    language:
    English
  • A review of basic identities we will use before we start verifying trig identities. 15:46 © 2008 by Raymond E. Griffith.


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    rtgmath
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    12 mos ago
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    English
  • Graphing transformations of tangent and cotangent. We use the graphing calculator, too. 18:36 © 2008 by Raymond E. Griffith.


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    rtgmath
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    54
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    12 mos ago
    language:
    English
  • Graphing transformations of tangent and cotangent. We use the graphing calculator, too. 18:36 © 2008 by Raymond E. Griffith.


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    rtgmath
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    22
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    12 mos ago
    language:
    English
  • We graph secant, cosecant, and tangent using sine and cosine functions. 28:14 © 2008 by Raymond E. Griffith.


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    rtgmath
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    356
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    12 mos ago
    language:
    English
  • Graphing transformations of the cosine function. © 2008 by Raymond E. Griffith.


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    18
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    12 mos ago
    language:
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  • 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.


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    rtgmath
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    82
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    12 mos ago
    language:
    English
  • 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:
    48
    added:
    12 mos ago
    language:
    English
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