Question : What is the value of the expression: $\sin A(1+\frac{\sin A}{\cos A})+\cos A(1+\frac{\cos A}{\sin A})$?

Option 1: $\sec A+\operatorname{cosec}A$

Option 2: $\sin \mathrm{A}+\cos \mathrm{A}$

Option 3: $\sin \mathrm{A}-\cos \mathrm{A}$

Option 4: $\sec \mathrm{A}-\operatorname{cosec} \mathrm{A}$

Question : Solve the following to find its value in terms of trigonometric ratios.
$(\sin A + \cos A)(1 - \sin A \cos A)$

Option 1: $\sin^3A+\cos^3A$

Option 2: $\sin^2A-\cos^2A$

Option 3: ${[\cos A-\sin A]\left[\sin ^2 A+\cos ^2 A\right]}$

Option 4: $\sin^3A-\cos^3A$