Question 1142690
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<pre>

You are given  {{{tan(alpha)}}} = 2  and  {{{tan(beta)}}} = {{{1/3}}},


and they want you find  acute angle  {{{alpha- beta}}}.


{{{tan(alpha - beta)}}} = {{{(tan(alpha) - tan(beta))/(1 + tan(alpha)*tan(beta))}}} = {{{(2-1/3)/(1 + 2*(1/3))}}} = {{{((5/3))/((1+2/3))}}} = {{{((5/3))/((5/3)))}}} = 1.


Therefore,  {{{alpha - beta}}} = {{{pi/4}}} = 45 degrees.    <U>ANSWER</U>
</pre>

Solved.