- #1

tony873004

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arccos and inverse cos?

arctan and inverse tan?

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- #1

tony873004

Science Advisor

Gold Member

- 1,751

- 143

arccos and inverse cos?

arctan and inverse tan?

- #2

Dr Transport

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nothing they are the same.....different ways of saying the same thing.

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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,ftony873004 said:

arccos and inverse cos?

arctan and inverse tan?

[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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