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I am new in wxmaxima and i try to learn how can i solve trigonometric equations. Can you help me with the sample program ? for example Sin(X)+Cos(Y) = sqrt(3) Sin(X)*Cos(Y) = 3/4 How can i get X,Y [0,2*pi] ?

Burak Sadikoglu
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    Note that sine and cosine functions are written `sin` and `cos` in Maxima (small initial letters). The function `solve` can solve some equations, but unfortunately it is not very strong; for example `solve([sin(x) + cos(y) = sqrt(3), sin(x)*cos(y) = 3/4], [x, y])` returns `[]`. I find that `solve([sin(x) + cos(y) = sqrt(3), sin(x)*cos(y) = 3/4], [sin(x), cos(y)])` returns `[[sin(x) = sqrt(3)/2,cos(y) = sqrt(3)/2]]` which is a little more helpful; maybe from there you can get `x` and `y` by hand. – Robert Dodier Dec 13 '22 at 18:25
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    If you have general questions about Maxima, the mailing list is a good way to get advice; see: https://sourceforge.net/projects/maxima/lists/maxima-discuss – Robert Dodier Dec 13 '22 at 18:25

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try this

sol: solve([sin(x) + cos(y) = sqrt(3), sin(x)*cos(y) = 3/4], [cos(y),sin(x)]);
solve(sol[1][1],y);
solve(sol[1][2],x);

also you can use to_poly_solve(sol[1][1],y) to obtain all roots.

john
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