majorbill

Find the greatest possible value of 5cos(x)+6sin(x). I know that it would be a good idea to look for identities that are in the form of acos(x)+bsin(x), but I can't seem to find any. Other than that I don't really know where to go with this problem. Any h...

So I have two questions that have been puzzling me for quite some time and would really appreciate any help with either of them! (a) There are four positive intergers a, b, c, and d such that 4cos(x)cos(2x)cos(4x)=cos(ax)+cos(bx)+cos(cx)+cos(dx) for all v...

Two questions that I would really appreciate some hints on: 1) Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation for a common external tangent can be written in the form y=mx+b with 0<m. What is b? 2) In triangle ABC, AB=...

Thank you so much for your help! I got both of those now!