Question 1154275
<br>
The two sides of the bisected angle have lengths 2 and sqrt(3); so the side of length 1 is divided into two parts in the ratio 2:sqrt(3).<br>
For calculating the tangent of 15 degrees, the side opposite the 15 degree angle has length<br>
{{{sqrt(3)/(2+sqrt(3))}}}<br>
Then, since the side adjacent to the 15 degree angle has length sqrt(3), the tangent of the 15 degree angle is<br>
{{{(sqrt(3)/(2+sqrt(3)))/sqrt(3)}}} = 0.2679491924<br>
Evaluating the tangent of 15 degrees directly yields the same value.<br>