MaplePrimes - answers and comments on Question, How do I find roots of trig functions numeric values over range

The package RootFinding might be useful

gulliet — Thu, 02 Jul 2009 17:03:57 Z

For instance, the function Analytic can search over a complex interval to find roots. > RootFinding:-Analytic(cos(z), z, re = 0 .. 3*Pi, im = -1 .. 1); 4.71238898038469, 1.57079632679490, 7.85398163397450 > RootFinding:-Analytic(cos(z), z, re = 0 .. 3*Pi, im = -1 .. 1, plot)

HTH, -- Jean-Marc

Multiple roots for polynomial expressions only

gulliet — Thu, 02 Jul 2009 19:15:51 Z

According to the online documentation for ?fsolve, "For a general equation or system of equations, the fsolve command computes a single real root." Regards, --Jean-Marc

Student[Calculus1][Roots]

gkokovidis — Thu, 02 Jul 2009 19:28:27 Z

>restart: with(Student[Calculus1]):
>Roots(cos(x),0..3*Pi);

[1/2*Pi, 3/2*Pi, 5/2*Pi]

Regards,
Georgios Kokovidis

Dräger Medical

option Explicit

jakubi — Thu, 02 Jul 2009 19:52:57 Z

Look at ?solve,details > Finding All Solutions with Restrictions. In this case, with Maple 13:

solve([cos(x)=0,x>0,x<3*Pi], x, AllSolutions, Explicit);
                        Pi         3 Pi        5 Pi
                  {x = ----}, {x = ----}, {x = ----}
                        2           2           2

Note that in Maple 13 options can be used instead of environment variables. And, as far as I know, 'fsolve' does not react to the value of the _EnvAllSolutions variable. You can use the option 'avoid' in 'fsolve' for finding additional roots (see ?fsolve,details).

fsolve

Christopher2222 — Thu, 02 Jul 2009 18:09:07 Z

Thanks.

Any reason why fsolve won't show the values if the range is specified?