Question

If 3tan^(-1)x+cot^(-1)x= π then what is the valu of x

Answer 1

Answer:

=> 2tan^-1(x) + tan^-1(x) + cot^-1(x) = π

=> 2tan^-1(x) + π/2 = π

=> 2tan^-1(x) = π-π/2

=> 2tan^-1(x) = π/2

=> tan^-1(x) = π/4

=> x = tanπ/4

=> x = 1