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Math Help - Trigonometric Equations

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    3

    Unhappy Trigonometric Equations

    Hi , out of my 100 question holiday packet, these are ones I just couldn't understand:

    Solve these equations in the indicated domain

    (1+cos(theta))/(sin(theta))=-1
    domain: [-180,180)

    cos4(theta) - sin2(theta) = 0
    domain: (-90,90)

    cos4(theta) - sin2(theta) = 1
    domain: [-90,90)

    cos3(theta) + cos5(theta) = 0
    domain: (-90,90)

    sin5(theta) + sin7(theta) = 0
    domain: [-90,90)

    cosx - root3(sinx) = 1
    domain (0,2pi]

    sinx - root3(cosx) = 1
    domain: [-pi,pi]

    [tan(10theta) + tan50(deg)]/[1-tan(10theta)tan50(deg)] = (root3)/3
    domain: (0,90)

    tan(theta) - tan(10theta) = 1 + tan(theta)tan10(deg)
    domain: [-180,180]

    tan(1/2)x + 1 = cosx
    domain: [0,4pi]

    2(cos^2)(1/2)x - 2 = 2cosx
    domain: [-pi,pi)

    2cos(theta + 30)cos(theta - 30) = 1
    domain: [-180,180]

    4sin(theta + 75)cos(theta - 75) = 1
    domain: [-180,180)

    (cos^2)(1/2)x - (1/2)cosx = 1/2
    domain: real numbers

    sinxtan(1/2)x = 1 - cosx
    domain: real numbers

    Any help is greatly appreciated!

    Thanks!
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  2. #2
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