Let △ A B C be an acute-angled triangle. Prove that ∑ cyc cot ⁡...

Lucille Cummings

Lucille Cummings

Answered

2022-06-26

Let A B C be an acute-angled triangle. Prove that cyc cot A + cot B 2 2

Answer & Explanation

last99erib

last99erib

Expert

2022-06-27Added 19 answers

hint:
cot A + cot B = s i n ( A + B ) s i n A s i n B = s i n C s i n A s i n B = s i n C s i n A s i n B s i n C
3 s i n A s i n B s i n C 3 s i n A + s i n B + s i n C 3 3 2

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