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Math Help - arcsin and csc.

  1. #1
    Member integral's Avatar
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    arcsin and csc.

    What is the difference between arcsin and co-secant?

    \textrm{csc}=\textrm{sin}^{-1}
    \textrm{sin}^{-1}=\textrm{arcsin}


    Many threads I have read say they are equal but when I input them into a calculator I get different values.
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  2. #2
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    Quote Originally Posted by integral View Post
    What is the difference between arcsin and co-secant?

    \textrm{csc}=\textrm{sin}^{-1}
    \textrm{sin}^{-1}=\textrm{arcsin}


    Many threads I have read say they are equal but when I input them into a calculator I get different values.
    arcsin is the inverse function of sine. It reverses what the sine function does.

    cosec is the reciprocal of sine.

    Generally, if you see  \sin ^{-1} , it will be referring to arcsin. Confusing, I know, but that is the notation unfortunately. The reciprocal of sine is almost always referred to as cosec.
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  3. #3
    Member integral's Avatar
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    arcsin is the inverse function of sine. It reverses what the sine function does.
    Tha'ts a reciprocal

    Generally, if you see , it will be referring to arcsin. Confusing, I know, but that is the notation unfortunately. The reciprocal of sine is almost always referred to as cosec.
    is sin^{-1} not a reciprocal...?
    Even if not, how on earth would you notate the difference between arcsin and csc. acrsin=sin^{-1}, csc=\frac{1}{sin}

    They look soo much the same.
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