#### Answer

$\dfrac {\sin s}{1+\cos s}+\dfrac {1+\cos s}{\sin s}=\dfrac {2}{\sin s}=2cscs$

#### Work Step by Step

$\dfrac {\sin s}{1+\cos s}+\dfrac {1+\cos s}{\sin s}=\dfrac {\sin ^{2}s+\left( 1+\cos s\right) ^{2}}{\sin s\left( 1+\cos s\right) }=\dfrac {\sin ^{2}s+1+2\cos s+\cos ^{2}s}{\sin s\left( 1+\cos s\right) }=\dfrac {2\left( 1+\cos s\right) }{\sin s\left( 1+\cos s\right) }=\dfrac {2}{\sin s}=2cscs$