Help With Radians Conversions (sort of)

[GreenPrint]

Homework Statement

Hey

So I have to create a list from 0 to 2 pi in increments of .1 radian. I realized that I had no idea how to do this. It's clear based on what's asked of me that the values in between 0 and 2 pi should be in radians sense the end values are 0 and 2 pi. I know that (180 degrees)/pi = one radian... so if I wanted .1 radian I would simply divide both sides by ten or (18 degrees)/pi = radian/10... well that's just great but is there any way I can represent this in radians and not degrees? Like I need all the values between 0 and 2 pi in radians in increments of .1 radian... 0, radian/10, radian/5 . . . 2 pi

I hope it's clear what I'm trying to do here, I have no idea how to express radian/10 and so forth in radians other than radian/10, I could express that in degrees (18 degrees)/10 = radian/10, but I don't think that is what is expected of me sense the end points are zero and 2 pi... I'm so confused

Homework Equations

The Attempt at a Solution

 

[Char. Limit]

Firstly, if the end points are 0 and 2pi, then using a rational increment like .1 isn't going to help you. I'd suggest using a multiple of pi as your increment, like pi/12 or pi/9. pi/6 if you just want the basic values.

 

[GreenPrint]

believe me I want to but my book worded it this way

"Sometimes it is convenient to have a table of sine, cosine, and tangent values
instead of using a calculator. Create a table of all three of these trigonometric
functions for angles from 0 to 2pi, with a spacing of 0.1 radian. Your table
should contain a column for the angle and then the sine, cosine, and tangent."

I'm learning how to use MATLAB but it's not really a question about programming just the math behind it

hence I am at a lost as to what to do =(

 

[Char. Limit]

Hmm... if I were making a table like this, I'd label the first column radians and then just list 0, .1, .2, .3 and the like. That would probably be the easiest way to do what I assume you're trying to do (and I might be wrong).

 

[cepheid]

So I have to create a list from 0 to 2 pi in increments of .1 radian.

Easy enough. Start at 0 and add 0.1 to get each successive value in the list. Note that 2*pi in decimal is approximately 6.28, so the list would have to terminate at 6.2 radians (the next item, 6.3 radians, being larger than the upper limit).

angle (radians)
0.0
0.1
0.2
0.3
0.4
0.5
.
.
.
5.9
6.0
6.1
6.2

That's it.

I realized that I had no idea how to do this. It's clear based on what's asked of me that the values in between 0 and 2 pi should be in radians sense the end values are 0 and 2 pi. I know that (180 degrees)/pi = one radian... so if I wanted .1 radian I would simply divide both sides by ten or (18 degrees)/pi = radian/10... well that's just great but is there any way I can represent this in radians and not degrees? Like I need all the values between 0 and 2 pi in radians in increments of .1 radian... 0, radian/10, radian/5 . . . 2 pi

I hope it's clear what I'm trying to do here, I have no idea how to express radian/10 and so forth in radians other than radian/10, I could express that in degrees (18 degrees)/10 = radian/10, but I don't think that is what is expected of me sense the end points are zero and 2 pi... I'm so confused

I have no idea what you are doing here. It doesn't make any sense to me. You don't have to worry about the conversion factor between radians and degrees, since you're keeping everything in radians. I'm not sure what "radian/10" means.

 

[GreenPrint]

Was I misreading the english?

 

[GreenPrint]

I was trying to express .1 radian in a form that I could use in my chart and start from 0 and go up to 2 pi, hence I use radian/10, which didn't do me a thing

 

[cepheid]

Okay, I looked at what you wrote more closely:

I hope it's clear what I'm trying to do here, I have no idea how to express radian/10 and so forth in radians other than radian/10,

It's already IN radians, so I'm not sure why you would feel the need to do anything else with it. I mean, you could express it variously as:

"a tenth of a radian"

"1/10 radians"

"0.1 radians"

etc. In MATLAB, you'll enter it as a decimal number 0.1

I could express that in degrees (18 degrees)/10 = radian/10, but I don't think that is what is expected of me sense the end points are zero and 2 pi... I'm so confused

No, they don't want you to express it in degrees. And since 2pi isn't a multiple of 0.1, it cannot actually be included as an endpoint in a list that increments by values of 0.1. So if you interpret the instructions to mean, "create a list that spans the range from 0 to 2pi inclusive in increments of 0.1", then yes, that is impossible.

Was I misreading the english?

I don't think so. Perhaps the exclusion of the endpoint is what was confusing you?

 

[GreenPrint]

hmm you I guess so thanks for helping me better understand that I read it as one tenth of a radian, which I wasn't exactly sure what that meant