If abc0 , and (cot)- 1((a b + 1/a - b))+(cot)- 1((b c + 1/b - c))+(cot)- 1((c a + 1/c - a)) is kπ then k is equal to .....

Question

If a>b>c>0 , and (cot)- 1((a b + 1/a - b))+(cot)- 1((b c + 1/b - c))+(cot)- 1((c a + 1/c - a)) is kπ then k is equal to ..... (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Q. If a>b>c>0 , and (cot)−1(a−bab+1​)+(cot)−1(b−cbc+1​)+(cot)−1(c−aca+1​) is kπ then k is equal to .....