1. Tardigrade
  2. Question
  3. Mathematics
  4. cot-1((ab + 1/a - b))+cot-1((bc + 1/b - c))+cot-1((ca + 1/c- a))

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $cot^{-1}\left(\frac{ab + 1}{a - b}\right)+cot^{-1}\left(\frac{bc + 1}{b - c}\right)+cot^{-1}\left(\frac{ca + 1}{c- a}\right)$

Inverse Trigonometric Functions

Solution:

$cot^{-1}\left(\frac{ab + 1}{a - b}\right)+cot^{-1}\left(\frac{bc + 1}{b - c}\right)+cot^{-1}\left(\frac{ac + 1}{c- a}\right)$
$\Rightarrow cot^{-1} a - cot^{-1} b + cot^{-1} b- cot^{-1} c + cot^{-1}c - cot^{-1} a = \pi$