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What is the difference between arcsin and inverse sin?

  1. Dec 23, 2004 #1

    tony873004

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    What's the difference between arcsin and inverse sin?
    arccos and inverse cos?
    arctan and inverse tan?
     
  2. jcsd
  3. Dec 23, 2004 #2

    Dr Transport

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    nothing they are the same.....different ways of saying the same thing.
     
  4. Dec 23, 2004 #3

    dextercioby

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    None,none,none...There is a trick though.For sine and cosine for example,defined on R,the rule f:A->B,f-1:B->A would not apply,since
    [tex] \sin x:R\rightarrow [-1,+1] [/tex]
    [tex] \cos x:R\rightarrow [-1,-1] [/tex]
    [tex] \arcsin x:[-1,+1]\rightarrow [-\frac{\pi}{2},+\frac{\pi}{2}] [/tex]
    [tex] \arccos x:[-1,+1]\rightarrow [0,\pi] [/tex]
    ,so the 'arcsine' and 'arccosine' are the inverse functions of 'sine' respectively 'cosine',BUT SINE X is inveritble only on the interval [itex] [-\frac{\pi}{2},+\frac{\pi}{2}] [/itex],and similar for COSINE X.
    I'll let u work out the other examples for circular trigonometric functions:tan,cotan,sec,cosec.

    Daniel.
     
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