Find the root of following equation.
Above equation can be solved using newton raphson iterative method with initial approximation to be unity.
1) First Let
We have to find root of above function.
2)Find derivative of .
3)Find using newton raphson method
You can use calculator or scratchpad to calculate .If this equation has real solution ,these values would converge to root of .
How to do such iterations smartly?
until you get a constant value.If your initial approximation is not too away from actual solution,you would get constant value in no more than 10 steps.
By this method you can solve most of the transcendental equation.