Question 1116990
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If tan (A+B)= x and tan B =1/2 prove that tan A=2x-1/x+2
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<pre>
tan(A) = tan((A + B)-B) = apply the formula for the tan of difference = 


       = {{{(tan(A+B) - tan(B))/(1 + tan(A+B)*tan(B))}}} = {{{(x-1/2)/(1+x*(1/2))}}} = {{{((2x-1)/2)/((2+x)/2)}}} = {{{(2x-1)/(2+x)}}}.
</pre>

Solved.


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The last question, &nbsp;"find without using tables", &nbsp;is &nbsp;UNCOMPLETED, &nbsp;since it does not determine WHAT to find.