The goal is to find the angle that gives the largest area.
I have an area expression:
.where is a constant.
If the derivative below is wrong, let me know. I did use some trig identities.
. This is correct, but . . .
So basically, how do I find the the gives a maxima?
Our equation was: .
. . And we have: . . . . a quadratic in
Quadratic Formula: .
We find that: . . has no real solutions.
And that: .
. . Therefore: .