Consider the following statements
Assertion (A): When \(x, y, z\) are positive numbers, then \(\begin{aligned} & \operatorname{Tan}^{-1}\left(\sqrt{\frac{x(x+y+z)}{y z}}\right)+\operatorname{Tan}^{-1}\left(\sqrt{\frac{y(x+y+z)}{x z}}\right)+\operatorname{Tan}^{-1}\left(\sqrt{\frac{z(x+y+z)}{x y}}\right) \\ & \operatorname{Reason}(\mathrm{R}): \quad \operatorname{Tan}^{-1} a+\operatorname{Tan}^{-1} b=\operatorname{Tan}^{-1}\left(\frac{a+b}{1-a b}\right) \text { if } a>0 ~\&~ b>0\end{aligned}\)

1. A Both \((A)\) and \((R)\) are true, \((R)\) is the correct explanation of \((A)\)
2. B Both (A) and (R) are true, (R) is not the correct explanation of (A)
3. C (A) is true, but (R) is false
4. D (A) is false, but (R) is true