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Math Help - 3 solving trig equations

  1. #1
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    Exclamation 3 solving trig equations

    1.) tan(x)=1/sqrt(3)

    2.) sin(x)^2=1/25
    now i know that this is actually sin(x)=1/5.

    3.) 2sin(x)cos(x)+sin(x)-2cos(x)-1=0
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  2. #2
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    Quote Originally Posted by rarrrettt111 View Post
    1.) tan(x)=1/sqrt(3)

    2.) sin(x)^2=1/25
    now i know that this is actually sin(x)=1/5.

    3.) 2sin(x)cos(x)+sin(x)-2cos(x)-1=0

    (1) tan30=1/sqrt(3)
    special angles , it is positive so x = 30 , 210

    (2) sin(x)=1/5
    11.54 is the basic angle , X should be in the first and second quadrant as it is positive .

    (3)
    sin x -1 = 2 cos x - 2 sinx cos x
    sin x-1 = 2 cos x ( 1 - sinx )
    1 - sinx = - 2 cosX(1-sin x)
    1 = -2cos X
    cos X = - 1/2
    X = 120 and 240
    (3)
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