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I did this so far
The book says that the error to 3 decimal places is
\[(0.1)- \frac{ 0.1^3 }{ 3 }\]

so why could that be the answer? wouldn't it just be 0.1 ?

the question asks you to do it using the maclaurin for cos x
is that what you did?

yes

yeah i did.

but it really does say cos(x)?

tan inverse (0.1)

You know I'm trying to tell you that there is conflicting information here right?

ohhh I see

my bad the one i copied was wrong

but the question here is right

Why is the the answer they have on the back of the book is
(0.1)−(0.1^3/3)

but the way I learned is by taking each monomial of the series and substituting the value of x

and (0.1^3)/3 is less that 5*10^-4

yep but then you have to add the terms in the series

where does 5*10^(-4) come from ?

so i just simplified to 5*10^-4

and i need to find a term that is smaller than 5*10^-4 in the series

the approximation only gets better if we add more terms onto that

|dw:1442182723650:dw|

well i guess i will ask this one to my professor. Thanks guys for your help!

Sorry I couldn't help Im not sure what you are hung up on as far as the problem is concerned

ohh no problem! i know you did your best :)