SOLUTION: Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton Raphson method correct up to four decimal places

Algebra ->  Trigonometry-basics -> SOLUTION: Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton Raphson method correct up to four decimal places      Log On


   

Question 1160366: Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton Raphson method correct up to four decimal places
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Go to  WEB-site 


https://keisan.casio.com/exec/system/1244946907


and use the Newton-Raphson method online calculator there.



Input the given function in one window.


Input its derivative  2*sin(x)*sinh(x) + 2*cos(x)*cosh(x)  in the other window.


Set up the number of iterations and the desired accuracy.


Press the "Execute" button.


You will get the solution in a second, with step-by-step printing.


After 4 iterations, the found root is  x = 0.4668337563 with 10 correct decimals.