Sine/cosine function and polynomial function

[Bruno Tolentino]

Some values of sine and cosine can ben expressed how the root of a polynomial of nth degree.

Example:http://www.wolframalpha.com/input/?i=cos((180/7)°)

(Roll the scroll still you find: "alternate forns" and see the associated polynomial: " x³ - 4 x² - 4 x + 1")

So, where I can find the mathematical relationship between the coefficients of a polynomial of nth degree with the argument of the function sine and cosine?

PS: ANY information is welcome!

 

[Dr. Courtney]

Im not sure that every polynomial is related to a trig function just because some trig functions are related to polynomials.

 

[Bruno Tolentino]

I wrote some.

More tips?