Question

$$\frac{2+an\ 30^{\circ}}{1-\tan^{2}30^{\circ}}=?$$

Answer

$$(2*(1+15*deg*a*n))/(1-900*ta*deg^2*n)$$

Solution


Regroup terms.
\[\frac{2+30degan}{1-tan{(30deg)}^{2}}\]
Factor out the common term \(2\).
\[\frac{2(1+15degan)}{1-tan{(30deg)}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{2(1+15degan)}{1-tan\times {30}^{2}{deg}^{2}}\]
Simplify  \({30}^{2}\)  to  \(900\).
\[\frac{2(1+15degan)}{1-tan\times 900{deg}^{2}}\]
Regroup terms.
\[\frac{2(1+15degan)}{1-900ta{deg}^{2}n}\]