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Math Help - Solving Trigonometric inequality with unit circle??

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    Solving Trigonometric inequality with unit circle??

    The practice problem i am working on is solve cos(x) >= sqrt(3)/2. I need to use the unit circle, I think, since a practice problem in my book uses it with the same type of problem. Could anyone work through this problem for me? I have no idea where to start!
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    Re: Solving Trigonometric inequality with unit circle??

    Quote Originally Posted by glambeth View Post
    The practice problem i am working on is solve cos(x) >= sqrt(3)/2. I need to use the unit circle, I think, since a practice problem in my book uses it with the same type of problem. Could anyone work through this problem for me? I have no idea where to start!
    look at the unit circle ...

    \cos{x} = \frac{\sqrt{3}}{2} at x = \frac{\pi}{6} and x = -\frac{\pi}{6}

    so \cos{x} \ge \frac{\sqrt{3}}{2} for values of x in the interval -\frac{\pi}{6} \le x \le \frac{\pi}{6}
    Attached Thumbnails Attached Thumbnails Solving Trigonometric inequality with unit circle??-unitcircle.jpg  
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