# Solution of equation

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• Jun 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\$\displaystyle x - cosx=0\$?
Keep Smiling
Malay
• Jun 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\$\displaystyle 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
• Jun 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\$\displaystyle 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
this thread

RonL