# Is arctan the same as cotan (confused)Watch

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

i'm confused!
0
10 years ago
#2
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
0
#3
(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?
0
10 years ago
#4
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.
0
10 years ago
#5
(Original post by Crabman)
isnt that the same thing?
no they are not the same thing i just cant explain it well. ):
1
10 years ago
#6
i always thought they wasn't :|
0
10 years ago
#7
is the inverse of , so
is the reciprocal of , so
0
#8
(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.

thanks!!!
0
10 years ago
#9
Nuodai got there before me.
He's correct.
0
1 year ago
#10
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.
0
1 year ago
#11
(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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