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Thread: Circular function value

  1. #1
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    Circular function value

    Find the exact circular function value:

    csc(-11pi/6)
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  2. #2
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    Re: Circular function value

    cosecant is the reciprocal of sine

    find $\sin\left(-\dfrac{11\pi}{6}\right)$ and determine the cosecant

    you do know your unit circle, correct?
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  3. #3
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    Re: Circular function value

    I'm still learning it, but I have it in hand. Either I'm looking at it wrong or there are no negatives listed
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  4. #4
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    Re: Circular function value

    what do you know about co-terminal angles ... ?
    Attached Thumbnails Attached Thumbnails Circular function value-coterminal.jpg  
    Last edited by skeeter; Oct 15th 2017 at 11:22 AM.
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  5. #5
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    Re: Circular function value

    The first thing I would notice is that -11/6= -1- 5/6= -1- 1/2- 1/3= -3/2- 1/3. So to go around the unit circle $-\frac{11}{6}\pi$ counter clock wise $(-3/2)\pi$. to the point (-1, 0). The point we want is another $\frac{1}{3}\pi$ up so $\pi/2- \pi/3= \pi/6$ radians or 30 degrees down from the 0 point.
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