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En
 one year ago
HELP!
please prove that
Arctan(x)=  Arctanx
En
 one year ago
HELP! please prove that Arctan(x)=  Arctanx

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4I'd prolly just do the same thing as the last one :o\[\large\rm y=\arctan(x)\]\[\large\rm y=\arctan(x)\]\[\large\rm \tan(y)=x\]Since tangent is an odd function,\[\large\rm \tan(y)=\tan(y)=x\]\[\large\rm \tan(y)=x\]\[\large\rm y=\arctan(x)\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Lot of weird little steps in that though :D

En
 one year ago
Best ResponseYou've already chosen the best response.0@zepdrix what do you mean to that the tangent is an odd function?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4An odd function satisfies this property:\[\large\rm f(x)=f(x)\]Examples:\[\large\rm f(x)=x^3\]\[\large\rm f(x)=(x)^3=(x)^3=f(x)\] \[\large\rm g(x)=\sin(x)\]\[\large\rm g(x)=\sin(x)=\sin(x)=g(x)\] An even function satisfies this property:\[\large\rm f(x)=f(x)\]Examples:\[\large\rm f(x)=x^2\]\[\large\rm f(x)=(x)^2=(x)^2=f(x)\] \[\large\rm g(x)=\cos (x)\]\[\large\rm g(x)=\cos(x)=\cos(x)=g(x)\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Tangent is like sine in this respect.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4It's good to have an understanding of even and odd functions, but at the very least make sure you understand the basics that it allows us with trig functions: `if you have a negative in your cosine, it can disappear` `if you have a negative in your sine or tangent, it can come outside`

En
 one year ago
Best ResponseYou've already chosen the best response.0oh my goodness.. thank you so much
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