Solving Trigonometric Equations in wxMaxima

Question

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] ?

Answer 1

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.