SOLUTION: Is there a means of solving this: cosx = x/120 ? If yes, please show.

Algebra ->  Trigonometry-basics -> SOLUTION: Is there a means of solving this: cosx = x/120 ? If yes, please show.      Log On


   

Question 1092786: Is there a means of solving this:
cosx = x/120 ?
If yes, please show.
Found 2 solutions by natolino_2017, ikleyn:
Answer by natolino_2017(77) About Me  (Show Source):
You can put this solution on YOUR website!
this type of equation cannot be solved by algebraic methods.
using numeric iterations can be found a solution:
x=-110,359335206512 (radians)
According to the graph of both function you can prove that the solution is unique.
@natolino_

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
I clearly see and the plot clearly shows a lot of the roots . . .




Plot y = cos(x) (red), y = x/120 (green)