Answer
See below.
Work Step by Step
$r$: linear correlation coefficient of the sample
$r_s$: rank correlation coefficient of the sample
$\rho$: parameter for the linear correlation coefficient of the sample
$\rho_s$: parameter for the rank correlation coefficient of the sample
Here $s$ doesn't denote the standard deviation but it is used to make a difference between the rank and the linear correlation of the sample.