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Re: Math Quiz 8
Ether,
Thanks for the cleanup. I realized during the writeup that I should have labeled some points, but I had already posted the picture.
I also see now what you mean by your no-trig solution being messy. I was wondering why you didn't do the algebra, then when I tried to solve for DB, I saw why. When I realized that the formula for DB involved taking a square root of a polynomial beginning with 32K4, I really did cringe.
Also, a quick review of geometric proofs of the double angle formula shows that many of them involve an isoceles triangle either explicitly or implicitly. A rather neat one simply involves calculating the area of an isoceles triangle twice (using different sides as the base in each case), and setting the two answers equal to each other.
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