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Math Help - Analytic Trigonometry: Fundamental Identities

  1. #1
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    Exclamation Analytic Trigonometry: Fundamental Identities

    Hi, I am a new member here on MHF. As of now I am taking a Pre-Calculus course and in need of dire help to help me grasp the concepts involved in the course.

    The textbook I am using is, "Precalculus: Graphical, Numerical, Algebraic" by Demana, Waits, Foley, Kennedy. 7th Edition.

    I have recently began my work on Chapter 5 Analytic Trigonometry. I understand the Identities, but when it comes to using them I am clueless. It would be a blessing if someone can help me with a walk through on how to tackle a few different types of questions.

    I will list them below, feel free to answer which ever ones you would like. Please include steps that I can follow.

    Chapter 5 Lesson 1 pages 452-453

    1. Simplify the expression: (sin<SUP>2</SUP>u + tan<SUP>2</SUP>u + cos<SUP>2</SUP>)/sec u


    2. Find all the solutions to the equation in the interval [0-2pi).

    a. 2cos x sin x - cos x = 0.

    b. sqrt2tan x cos x - tan x = 0

    c. tan x sin<SUP>2</SUP>x = tan x


    3. Find all solutions to the equation.

    a. 5cos<SUP>2</SUP>x-4cos x + 1 = 0

    b. sin<SUP>2</SUP>x - 2sin x = 0

    c. 3 sin t = 2cos<SUP>2</SUP>t

    d. 2sin<SUP>2</SUP>x + 3sin x = 2

    All responses will be greatly appreciated.
    Thank you very much.

    -Andy
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  2. #2
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    sorry about the superscripts...i meant those to be squares.
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  3. #3
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    for number 1, use the distributive property. Sorry, I would get into detail but I still have hw lol.
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