Basic Maths Query

[Mega_x]

Hey there everyone,
I am currently doing some maths homework involving trigonometric functions
which involves the formula of y=A Sin (Bx+c) + D

The problem I am having with is finding the period with statistics of temperatures.
The period of a function = 2 PI/B


THE QUESTION
How can I find B using data? Thanks

 

[Jokerz]

You need to graph your data. It should give you a sine curve. From this, you need to see how long it takes (refer to your units on the x-axis) to complete a single wavelength (this is the period). A wavelength essentially the distance at which the wave repeats. Below is an example problem (my onenote drawing skills suck).

Hope that helped

 

[Mega_x]

Here it is http://imageshack.us/photo/my-images/855/grapho.png/

If I could give you the data, because my software doesn't work in Radians , Could you help me find it?

 

[Mega_x]

I know what the period is and such, but it's just using statistics and I don't get a wavy graph like yours

 

[Jokerz]

Could you post your values? It will make it much easier

 

[Mega_x]

Jan = 31.3
Feb=31.1
Mar = 30.7
Apr =29.6
May = 27.6
June = 25.6
July =25.1
Aug = 26
Sep = 27.7
Oct = 29.4
Nov 30.7
Dec =31.5

 

[Jokerz]

I seemed to get a decent curve with your results. I got the period to be 12 months, which does make sense if you think about the temperature in an area over a year.