Problem with the Bisection method

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I have a problem by using the bisection method.

I have to get a route of 2xcos(2x)-sin(2x)=0 in the interval (3,4)

However by the first estimation, I got a positive number when I put f(3.5) therefore the next interval is (3,3.5). However the solution should be in the direction of 3.8. Does this method just don't work here?

Many thanks in advanced