The discussion revolves around solving a system of trigonometric equations involving sine and cosine functions. The equations presented are a*sin(x) = b*sin(th) + c*sin(y) and d + a*cos(x) = b*cos(th) + c*cos(y). To approach the solution, participants suggest rearranging the equations by moving sine and cosine terms to one side and constants to the other. A key step involves squaring both equations and adding them, leading to a new equation that relates the constants and the cosine of the difference between x and y. This results in a relationship where y can be expressed as y = x + k, allowing the original equations to be transformed into simultaneous equations in terms of cos(x) and sin(x). This method provides a pathway to find the values of x and y when the other variables are constants.
