### Sine Taylor Series Solved on TI-89: Raw Transcript

Okay this is Tom from every step

calculus dot com I’m gonna do the Taylor series with

sin of X

and let’s get started you put index

9 into the entry line here

the and I give you instructions on how to do that

press ENTER here and we’re gonna scroll down to

I going to scroll up because closer to the end of the alphabet then in the middle

and I’m gonna go to Taylor

maclaurin and press Enter

and

the ask for if they ask for maclaurin and then you’re gonna put zero in for a

otherwise you can put any number in for a actually a

is the X value on the function that you’re gonna

approximate the slope of a line at

here’s a formula for the Maclaurin series

and

for the Taylor series right these all on your paper all the time

look like a genius enter the…you have to

press alpha first before we do anything on our entry lines here’s I’m going to Press alpha

and let’s see sine

second sine of

X close up parentheses

press enter

and centered at let’s say

3 alpha

3 I always show you what you’ve entered, you can change it if you want I say it’s okay

here’s the formula it’s a Taylor series because it’s not zero for a

understand they have to be derivatives have to be

on going one after the other

that’s part of the Taylor series working

write this on your paper this is the first five derivatives of that

and then we’re going to compute the

derivatives at 3 the point we want the

slope of a line to be in that function

and we’re going to have a factorial here 2_3_4_5

to be computed at that we’ve come up with these answers here

write all this on your paper it’s all-important

and here’s the answer

cosine of 3 x minus 3

minus sin of 3 times x

minus 3 squared divided by 2 divide by 6 by 24 by 20

Pretty neat huh, every step calculus dot

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