The graphs of f(x) = 2sin(x) - 1 (blue) , and g(x) = 3cos(x) + 2 (red)

are shown below:

https://www.virtualhighschool.com/co.../images/38.jpg

What equation would have the intersection points of the graphs as its solutions?

I know that I need to set the equations equal to one another:

2sin(x) -1 = 3cos(x) + 2

2sin(x) -1 -2 = 3cos(x)

2sin(x) -3 = 3cos(x)

I think I need to get all of the trig functions in terms of the same ratio, but I'm not sure how to do that. Nor am I sure where to go from there.

Any help would be greatly appreciated. This is my last trig question and I'm finally done the unit!

Thanks