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Math Help - arc x and Arc x

  1. #1
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    arc x and Arc x

    What's the difference between a lower-cased arc x and an upper-cased Arc x? (in sinusoids)
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  2. #2
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    Quote Originally Posted by Noraowolf1 View Post
    What's the difference between a lower-cased arc x and an upper-cased Arc x? (in sinusoids)
    Dear Noraowolf1,

    As far as I know there is no difference. Normally the inverse functions of sine, cosine, tangent, etc are written arcsin, arccos with lowercase letters.
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  3. #3
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    Hello, Noraowolf1!

    What's the difference between a lower-cased {\color{red}\text{a}}\text{rcsin}\,x and an upper-cased {\color{red}\text{A}}\text{rcsin}\,x ?

    I was told (many years ago) that {\color{red}\text{A}}\text{rcsin}\,x indicated the principal value of x.

    . . That is: . -\tfrac{\pi}{2} \:\le\:x\:\le\:\tfrac{\pi}{2}


    But I've met no one who uses that interpretation.

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