In a \( \triangle \mathrm{ABC} \) right angled at \( \mathrm{C} \), if \( \tan \mathrm{A}=\frac{...

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In a \( \triangle \mathrm{ABC} \) right angled at \( \mathrm{C} \), if \( \tan \mathrm{A}=\frac{1}{\sqrt{3}} \) and \( \tan \mathrm{B}=\sqrt{3} \). Show that \( \sin \mathrm{A} \cos \mathrm{B}+\cos \mathrm{A} \sin \mathrm{B} \) \( =1 \)
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