Hello and Merry Xmas: Can you please try and see if you can find the missing rational fraction (a/b), so that the identity is true: Pi/4=22arctan(1/38)+17arctan(7/601)+10arctan(a/b), find a/b. Thanks and have a great Christmas.
Pi/4 = 22arctan(1/38) + 17arctan(7/601) + 10arctan(a/b) ....... rearrange as
[ Pi/4 - 22arctan(1/38) -17arctan(7/601)] / 10 = arctan(a/b) ......means that
tan ( [ Pi/4 - 22arctan(1/38) -17arctan(7/601)] / 10 ) = a / b
7/ 8149 = a / b
Thank you CPhill. Excellent.
