What is ln[x]?

[suskieanna]

Hello I am trying plot a graph of and I don't know what ln

• is. Is it just log graph?

[RuiAce]

\( \ln x\) is just a shorthand for \( \log_e x\) if that was your question. (So what you have there is basically the reciprocal of a log graph, yes.)

[Tatlidil]

\( \ln x\) is just a shorthand for \( \log_e x\) if that was your question. (So what you have there is basically the reciprocal of a log graph, yes.)

So if that is the reciprocal, how do you find the inverse of that?
And I just wanted to know if i'm correct with this:
The reciprocal of y = sin(x) is cosec(x)
The inverse of y = sin(x) is sin^-1(x) or arcsine(x)?
P.S I'm just a little confused with sketching these as well, lets say x: [0 , pi/2]

[DBA-144]

So if that is the reciprocal, how do you find the inverse of that?
And I just wanted to know if i'm correct with this:
The reciprocal of y = sin(x) is cosec(x)
The inverse of y = sin(x) is sin^-1(x) or arcsine(x)?
P.S I'm just a little confused with sketching these as well, lets say x: [0 , 2pi]

Pretty sure you cant sketch inverse trig functions for the domain youve said since they re not one to one functions
 It would need to be 0 to pi/2 for sin and i think 0 to pi for cos. 

Hope this helps.

[Tatlidil]

Pretty sure you cant sketch inverse trig functions for the domain youve said since they re not one to one functions
 It would need to be 0 to pi/2 for sin and i think 0 to pi for cos. 

Hope this helps.

Oh yeah i forgot, it has to be a one-to-one function I'll change it now.