cot-1((ab + 1/a - b))+cot-1((bc + 1/b - c))+cot-1((ca + 1/c- a))

Question

cot-1((ab + 1/a - b))+cot-1((bc + 1/b - c))+cot-1((ca + 1/c- a)) (A) 0 (B) (π/4) (C) π (D) 5

Tardigrade Admin · Accepted Answer

cot-1((ab + 1/a - b))+cot-1((bc + 1/b - c))+cot-1((ac + 1/c- a)) ⇒ cot-1 a - cot-1 b + cot-1 b- cot-1 c + cot-1c - cot-1 a = π

Q. $co t^{- 1} (\frac{ab + 1}{a - b}) + co t^{- 1} (\frac{b c + 1}{b - c}) + co t^{- 1} (\frac{c a + 1}{c - a})$