Solve the following equations for x:(i)(ii)(iii) tan−1(x −1) + tan−1x tan−1(x + 1) = tan−13x(iv) tan−11-x1+x-12tan−1x = 0, where x > 0(v) cot−1x − cot−1(x + 2) = π12, x > 0(vi) tan−1(x + 2) + tan−1(x − 2) = tan−1879, x > 0(vii) tan-1x2+tan-1x3=π4, 0<x<6(viii)(ix)

Solve the following equations for x:(i)(ii)(iii) tan−1(x −1) + tan

1.	Solve the following equations for x:(i)(ii)(iii) tan−1(x −1) + tan−1x tan−1(x + 1) = tan−13x(iv) tan−11-x1+x-12tan−1x = 0, where x > 0(v) cot−1x − cot−1(x + 2) = π12, x > 0(vi) tan−1(x + 2) + tan−1(x − 2) = tan−1879, x > 0(vii) tan-1x2+tan-1x3=π4, 0<x<6(viii)(ix)
Answer» Solve the following equations for x: (i) (ii) (iii) tan⁻¹(x −1) + tan⁻¹x tan⁻¹(x + 1) = tan⁻¹3x (iv) tan⁻¹ $(\frac{1 - x}{1 + x}) - \frac{1}{2}$ tan⁻¹x = 0, where x > 0 (v) cot⁻¹x − cot⁻¹(x + 2) = $\frac{π}{12}$ , x > 0 (vi) tan⁻¹(x + 2) + tan⁻¹(x − 2) = tan⁻¹ $(\frac{8}{79})$ , x > 0 (vii) $\tan^{- 1} \frac{x}{2} + \tan^{- 1} \frac{x}{3} = \frac{π}{4}, 0 < x < \sqrt{6}$ (viii) (ix)