# Solution of equation

• June 19th 2006, 07:31 AM
malaygoel
Solution of equation
I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
For example, how could we solve $x - cosx=0$?
Keep Smiling
Malay
• June 19th 2006, 07:44 AM
ThePerfectHacker
Quote:

Originally Posted by malaygoel
I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
For example, how could we solve $x - cosx=0$?
Keep Smiling
Malay

I can proof that a unique solution exists.

You can approximate solutios with "Newton-Raphson Alogorthm".

I would not be supprised that the solution is transcendental
• June 19th 2006, 07:52 AM
CaptainBlack
Quote:

Originally Posted by malaygoel
I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
For example, how could we solve $x - cosx=0$?
Keep Smiling
Malay

Most solutions to mixed algebraic/tanscendetal equations are do
not have simple closed forms in terms of the usual elementary functions
(no don't ask me to prove it). So do however have such solutions, see