DSP Robotics Support

Friends, who can be able to help with the mathematical part of the plugin. I need to write formulry in Ruby, but lack the knowledge to convert formulas from mathematics to code for Ruby. If anyone can help I would appreciate.
0.5 COSINE (2π t - 0 π ) = 0.5 COS (2π t ) + 0 SIN (2π t )
http://www.fourier-series.com/fourierse ... index.html

I have the values 0.5 COSINE (2π t - 0 <----This value π ) value comes from the button.
How do I get the value for the second part of the formula?
And as it is written in the Ruby?

what result do you need?
sample to sample based on the time "t",
or an array of samples for a given length of time?

comunqe in Ruby, there is a Math class
type:
Math::PI = gives you the value of the constant PI
Math::cos (expression or value)
Math::sin
etc..

I wrote a formula that is not quite true, for Ruby, there is one problem.
And I have done in the example, the development of the amplitude of the same thing, because it turns out that the failure to ampliture -3 decibel, that I do not know how to solve it.
Need to show any stereo analyzer.
We need the same thing but without the problems of amplitude. I do not have enough knowledge to write a button that would pass values ​​in accordance with the formula.
I apologize for the quality of the words, I am not English speaking.

Or
http://rghost.ru/47743456 <------ File