Where $s_r$ = sum of product of tangents of angles $A_1,A_2...A_n$ taken $r$ at a time.I am expected to prove by induction. How do we use induction in a situation like this?
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1Assume the formula holds for $\tan(A_1+\cdots+A_{n-1})$ and use the addition formula for $\tan$ to deduce it for $\tan(A_1+\cdots+A_{n})$. – Angina Seng Jul 09 '19 at 03:00
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https://math.stackexchange.com/questions/346368/sum-of-tangent-functions-where-arguments-are-in-specific-arithmetic-series – lab bhattacharjee Jul 09 '19 at 04:05
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I have come to this stage.$\frac{s_1..s_{n-1}+tanA_n+tanA_n(-s_2+s_4....s_{n-1}}{1-s_2+s_4...s_{n-2} - tan A_n(s_1-s_3...s_{n-1}}$ – Mathematical Curiosity Jul 09 '19 at 13:22