Hello Is it possible to find all the solutions of a simple trigonometric equation? For instance even sin(x) == 0 gives only x = 0 as a solution instead of k pi. Thanks, Nicola
Use solve? to access the documentation of the solve function.
This reveals a lot of examples, including trigonometric equations.
There are basically two ways to get "all solutions" for such equations:
algorithm='sympy'to_poly_solve='force'If you use the to_poly_solve='force' option, you get something like:
sage: solve([eq], [x], to_poly_solve='force')
[x == pi*z1]
which means pi times any integer (indicated by z1,
standing for an indexed integer variable $z_1$).
You can get a different index $k$ for the $z_k$ integer variable each time you solve.
If you use the algorithm='sympy' option, you get something like:
sage: solve([eq], [x], algorithm='sympy')
[ImageSet(Lambda(_n, 2*_n*pi), Integers),
ImageSet(Lambda(_n, 2*_n*pi + pi), Integers)]
Asked: 2023-05-21 14:21:25 +0200
Seen: 113 times
Last updated: May 21 '23
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
Welcome to Ask Sage! Thank you for your question!
Note that Ask Sage provides a search box.
Typing "trigonometric" in that box reveals a few previous questions, including
Hi @Sotto, to accept an answer, click the "accept" button at the top left of the answer.
It's the button with a checkmark (✓) below the answer's score and upvote/downvote buttons.
This marks the question as answered in the list of questions.