What is the difference between arcsin and inverse sin?

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tony873004
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What's the difference between arcsin and inverse sin?
arccos and inverse cos?
arctan and inverse tan?
 

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Dr Transport
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nothing they are the same.....different ways of saying the same thing.
 
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dextercioby
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tony873004 said:
What's the difference between arcsin and inverse sin?
arccos and inverse cos?
arctan and inverse tan?
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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