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Math Help - Grade 11 Trigonometry Question

  1. #1
    s3a
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    Grade 11 Trigonometry Question

    Let's say I am given an angle of (5*pie)/6.

    P((5*pie/6)) = (x, y). I know that for x I do cos of the angle and for y, I do sin of the angle but, what I do not know how to do is to get a NON-DECIMAL answer. My teacher gave me some paper with questions that tells me to NOT use a calculator.

    For example for the x coordinate:
    In radians:

    cos ((5*pie)/6) ~ -0.87 (an approximate answer)...how do I know that I need to get -(sqrt(3)/2) instead? Do I HAVE to memorize this kind of thing or is there a method to solve this?
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    Quote Originally Posted by s3a View Post
    Let's say I am given an angle of (5*pie)/6.

    P((5*pie/6)) = (x, y). I know that for x I do cos of the angle and for y, I do sin of the angle but, what I do not know how to do is to get a NON-DECIMAL answer. My teacher gave me some paper with questions that tells me to NOT use a calculator.

    For example for the x coordinate:
    In radians:

    cos ((5*pie)/6) ~ -0.87 (an approximate answer)...how do I know that I need to get -(sqrt(3)/2) instead? Do I HAVE to memorize this kind of thing or is there a method to solve this?
    \cos{\frac{5\pi}{6}} = \cos{(\pi - \frac{\pi}{6})} = -\cos{\frac{\pi}{6}} = -\frac{\sqrt{3}}{2}.
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