Calculate the value of pi upto 10 decimal points using he fact that pi=4.tan^-1(1). Use the fact that d/dx tan^-1(x) = 1/(1+x^2). First derive the series for tan^-1(x). Next estimate theoretically and practically howmany iterations are required. Use the equation pi/4 = tan^-1(1/2) + tan^-1(1/3) to evaluate the value of pi. Howmany iterations does it require? Comment on the difference. Submit matlab code.