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Math Help - trig

  1. #1
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    Joined
    Apr 2009
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    12

    Wink trig


    find X when sin Xdegress = -0.866, cos Xdegrees = -0.5
    and 0 < X < 360


    nd the answer is 240 degrees
    ..................... i don't knw hw u get it...
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  2. #2
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    Joined
    May 2009
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    When sin x = -0.866= (sqrt3)/2, basic angle of x = 60 degrees. Since sin x is negative, x is in 3rd and 4th quadrant, hence x is 180+60=240, 360-60=300.

    Given cos x is -0.5, basic angle is 60 degrees. Since cos is negative, x is located in 2nd and 3rd quadrant, 180-60=120, 180+60=240.

    Therefore, the anwser that satisfies both equations are 240 degrees.
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