Is arctan the same as cotan (confused) Watch

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Crabman
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#1
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Does 1/tan x = tan-1 x = arctan x = cotan ?????

please help!
i'm confused!
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waterlily (:
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no im pretty sure they arent the same thing. arctan is the inverse function of tan (tan^-1) and cot is just 1/tan so they can't be the same

sorry if that made no sense
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Crabman
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(Original post by waterlily (:)
no im pretty sure they arent the same thing. arctan is the inverse function of tan (tan^-1) and cot is just 1/tan so they can't be the same

sorry if that made no sense
isnt that the same thing?
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ablendofdrei
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1/tangent(x) = [tangent(x)]^-1 = cotangent

The cotangent function is the reciprocal of the tangent function.

let x=tangent(y)

y = arctangent(x) = tangent^-1(x)

The arctangent function is the inverse of the tangent function.

Hope that helps.
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waterlily (:
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(Original post by Crabman)
isnt that the same thing?
no they are not the same thing i just cant explain it well. ):
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waterlily (:
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i always thought they wasn't :|
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nuodai
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\newline \tan^{-1} x is the inverse of \tan x, so \tan (\tan^{-1} x) = \tan^{-1} (\tan x) = x
\newline \cot x is the reciprocal of \tan x, so \tan x \cot x = \cot x \tan x = 1
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Crabman
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(Original post by ablendofdrei)
1/tangent(x) = [tangent(x)]^-1 = cotangent

The cotangent function is the reciprocal of the tangent function.

let x=tangent(y)

y = arctangent(x) = tangent^-1(x)

The arctangent function is the inverse of the tangent function.

Hope that helps.

that made perfect sense

thanks!!!
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TI-84
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Nuodai got there before me.
He's correct.
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Logic Λόγος
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it didnt, No offense, 1/x = x^ -1 are both inversesx • x^-1 =1 and x • 1/x =1 (in ANY MATH a multiplicative inverse, is a number that gives you the Identity when you multiply it. in Multiplication the Identitity is 1.) So, for x,y,z, anything, stuff....stuff × 1= stuffstuff × 1/stuff = 1stuff × stuff^-1 therefore 1/stuff = stuff^-1I KNOW THAT, just not sure why we have cotan and arctan if they do the same thing.
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Notnek
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(Original post by Logic Λόγος)
it didnt, No offense, 1/x = x^ -1 are both inversesx • x^-1 =1 and x • 1/x =1 (in ANY MATH a multiplicative inverse, is a number that gives you the Identity when you multiply it. in Multiplication the Identitity is 1.) So, for x,y,z, anything, stuff....stuff × 1= stuffstuff × 1/stuff = 1stuff × stuff^-1 therefore 1/stuff = stuff^-1I KNOW THAT, just not sure why we have cotan and arctan if they do the same thing.
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