Hey, I'm currently in Calc 2 on a section dealing with the Derivatives/Integrals of Inverse Trig. Functions. I ran across this problem, and it's just kind of completely out of the blue, and I'm not 100% sure what to do with it, but I think I have an idea.

q) Where should the point $\displaystyle P$ be chosen on the line segment $\displaystyle AB$ so as to maximize the angle $\displaystyle \theta$

My questions are: Could I assume that the triangles are right angles? I'm not sure I can.

Mr F says: Yes you can.
And, can anyone give me any hints on how to work the problem? I'd just like some guidance, don't want the answer

Thanks!