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Mathematics 17 Online
OpenStudy (anonymous):

what's the difference between arctan and tan^-1? i'm quiet confused. :S

OpenStudy (phi):

They mean the same thing.

OpenStudy (phi):

But \[ tan^{-1}(x) \] is confusing because it looks like something to the negative 1 power. It isn't!

OpenStudy (anonymous):

yea.. but is it also if i write that to arctan x?

OpenStudy (anonymous):

*okay... sorry for the typo.

OpenStudy (phi):

I don't understand the question.

OpenStudy (phi):

arctan(x) , atan(x), \( tan^{-1}(x) \) all mean the same thing. Choose what ever form you want.

OpenStudy (anonymous):

oh ok.. thanks phi.. :)

OpenStudy (anonymous):

\[\begin{array}l\color{#FF0000}{\text{T}}\color{#FF7F00}{\text{h}}\color{#FFE600}{\text{e}}\color{#00FF00}{\text{y}}\color{#0000FF}{\text{ }}\color{#0000FF}{\text{b}}\color{#6600FF}{\text{o}}\color{#8B00FF}{\text{t}}\color{#FF0000}{\text{h}}\color{#FF7F00}{\text{ }}\color{#FF7F00}{\text{m}}\color{#FFE600}{\text{e}}\color{#00FF00}{\text{a}}\color{#0000FF}{\text{n}}\color{#6600FF}{\text{ }}\color{#6600FF}{\text{t}}\color{#8B00FF}{\text{h}}\color{#FF0000}{\text{e}}\color{#FF7F00}{\text{ }}\color{#FF7F00}{\text{s}}\color{#FFE600}{\text{a}}\color{#00FF00}{\text{m}}\color{#0000FF}{\text{e}}\color{#6600FF}{\text{ }}\color{#6600FF}{\text{t}}\color{#8B00FF}{\text{h}}\color{#FF0000}{\text{i}}\color{#FF7F00}{\text{n}}\color{#FFE600}{\text{g}}\color{#00FF00}{\text{:}}\color{#0000FF}{\text{ }}\color{#0000FF}{\text{t}}\color{#6600FF}{\text{h}}\color{#8B00FF}{\text{e}}\color{#FF0000}{\text{ }}\color{#FF0000}{\text{i}}\color{#FF7F00}{\text{n}}\color{#FFE600}{\text{v}}\color{#00FF00}{\text{e}}\color{#0000FF}{\text{r}}\color{#6600FF}{\text{s}}\color{#8B00FF}{\text{e}}\color{#FF0000}{\text{ }}\color{#FF0000}{\text{t}}\color{#FF7F00}{\text{a}}\color{#FFE600}{\text{n}}\color{#00FF00}{\text{g}}\color{#0000FF}{\text{e}}\color{#6600FF}{\text{n}}\color{#8B00FF}{\text{t}}\color{#FF0000}{\text{ }}\color{#FF0000}{\text{f}}\color{#FF7F00}{\text{u}}\color{#FFE600}{\text{n}}\color{#00FF00}{\text{c}}\color{#0000FF}{\text{t}}\color{#6600FF}{\text{i}}\color{#8B00FF}{\text{o}}\color{#FF0000}{\text{n}}\color{#FF7F00}{\text{.}}\end{array}\]

OpenStudy (anonymous):

\begin{array}l\color{#FF0000}{\text{My}}\text{ }\color{#FF7F00}{\text{writing}}\text{ }\color{#FFE600}{\text{is}}\text{ }\color{#00FF00}{\text{quite}}\text{ }\color{#0000FF}{\text{ostentatious,}}\text{ }\color{#6600FF}{\text{isn't}}\text{ }\color{#8B00FF}{\text{it?}}\end{array}

OpenStudy (anonymous):

thanks sir agdgdgdgwngo for the reply, about your writing, yes... XD

OpenStudy (anonymous):

\begin{array}l\color{#FF0000}{\text{h}}\color{#FF0000}{\text{ }}\color{#FF7F00}{\text{a}}\color{#FF7F00}{\text{ }}\color{#FFE600}{\text{h}}\color{#FFE600}{\text{ }}\color{#00FF00}{\text{a}}\color{#00FF00}{\text{ }}\color{#0000FF}{\text{h}}\color{#0000FF}{\text{ }}\color{#6600FF}{\text{a}}\color{#6600FF}{\text{ }}\color{#8B00FF}{\text{h}}\color{#8B00FF}{\text{ }}\color{#FF0000}{\text{a}}\color{#FF0000}{\text{ }}\end{array}

OpenStudy (anonymous):

\[\tan^{-1} x\] represent angle but \[(\tan x )^{-1}\] represent an value...for example,if \[\tan x =y\] where we can say that x is any angle and y is some value...but from above equation we can also write,\[x =\tan^{-1} y\] now we know that x is the angle and therefore from above equation we can say that \[\tan^{-1} x\] is also an angle.but in the case of \[(\tan x)^{-1}\] it is simply a value which is a reciprocal of value \[\tan x\]

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