- #1

utkarshakash

Gold Member

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- 13

## Homework Statement

Solve

[itex]cot^{-1} x - cot^{-1} (n^2 - x+1)=cot^-1(n-1)[/itex]

## Homework Equations

## The Attempt at a Solution

I can write the above equation as θ+α=β where the symbols represent the respective inverse functions. Now I take tan of both sides. Simplifying I get

[itex](n^2+1-2x)(n-1) = x(n^2-x+1)[/itex]