Solve() command with trigonometric equations

[teerasak]

I tried solve command to solve the following system of equation:

3*sin(x) + 4*cos(y) = 6
4*sin(y) + 3*cos(x) = 1

Code:

solve({3*sin(x)+4*cos(y)=6, 4*sin(y)+3*cos(x)=1},{x,y})

Calculation is in radian, and found no solution.



When using TI Nspire Cas, I have got answer with the warning "More solutions may exist. Try specifying appropriate lower and upper bounds and/or a guess. "



Any setting required to let calculator to get the right solution?