hello! I would like to know how to solve asinx + bcosx = c, with a, b, c being any real numbers (constants) First, are there any limitations for the above to be valid? Second, I was introduced to a solution but I cannot fully understand the procedure. Let's say we have asinx + bcosx = c We can solve this by using: R= root of a^2 plus b^2 and asinx + bcosx = Rsin(x+w) and tan(w)=b over a the first question is, do the above are valid for a, b being either positive or negative? Second, when we find the "w" using the calculator (by inversing its tan), how do we find which exactly value of w we must use? Third, when we inverse the sin(x+w), by the calculator, how do we find which exactly values of x+w we must use? Thanks!