Question

What is 3/tan(30°) in radical form? (meant to be a fraction)

Answer 1

$\bf y=\cfrac{3}{tan(30^o)}\implies y=\cfrac{3}{\frac{sin(30^o)}{cos(30^o)}}\implies y=\cfrac{3}{\frac{\quad \frac{1}{2}\quad}{\frac{\sqrt{3}}{2}} }\implies y=\cfrac{3}{\frac{1}{2}\cdot \frac{2}{\sqrt{3}}} \\\\\\ y=\cfrac{3}{\quad \frac{1}{\sqrt{3}}\quad }\implies y=\cfrac{3}{1}\cdot \cfrac{\sqrt{3}}{1}\implies y=3\sqrt{3}$