Re: [math-fun] Indoor sports: arctan relations--as puzzle?

Some of us have burned on our brains such stuff as tan(A+B) = (tan A + tan B) / (1 - tan A tan B) e.g. (ahem) 1/2 = (1/3 + 1/7) / (1 - 1/3.7) ! WFL On 4/12/06, Marc LeBrun <mlb@fxpt.com> wrote:

When shorn of context (ie pi) these appear to gain in mystery. For example,

Prove: acot 3 + acot 7 = acot 2.

might be a nicely motivating puzzle for a suitable degree of sophistication.

(But then, maybe I'm too easily amused.)

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