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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Specialist Mathematics => Topic started by: suskieanna on December 27, 2018, 10:32:09 am

Title: What is ln[x]?
Post by: suskieanna on December 27, 2018, 10:32:09 am
Hello I am trying plot a graph of and I don't know what ln
Title: Re: What is ln[x]?
Post by: RuiAce on December 27, 2018, 10:35:13 am
\( \ln x\) 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.)
Title: Re: What is ln[x]?
Post by: Tatlidil on January 15, 2019, 09:31:41 pm
\( \ln x\) 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]

Title: Re: What is ln[x]?
Post by: DBA-144 on January 15, 2019, 10:07:47 pm
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.
Title: Re: What is ln[x]?
Post by: Tatlidil on January 16, 2019, 11:17:48 am


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.