I'm trying to get the intersection points between a sine function and a circumference.
So, i have this equations:
$y = a\sin(bx + c) + d$
$(x-h)^2 + (y-k)^2 = r^2$
If i substitute the sine in the second equation i have this:
$(x-h)^2 + (a\sin(bx + c) + d-k)^2 = r^2$
In other case, developing the quadratics and ordering the $x$'s to the left should be enough, but having trigonometric functions is a problem because they aren't in $x$ terms really
$x^2 - 2xh + h^2 + a^2\sin^2(bx+c) + 2a\sin(bx+c)\cdot\ (d-k)+(d-k)^2 = r^2$
I just need to get the solutions of the system, i don't know what to do at this point. Any help would be grateful