Question 1134822
Use the formula:

{{{tan(a+b) = (tan(a)+tan(b))/(1-tan(a)tan(b))}}}
{{{ (1/7) = (3+tan(b))/(1-3tan(b)) }}}

Let tan(b) = x,

{{{1/7 = (3+x)/(1-3x)}}}
{{{1/7-3x/7 = 3+x}}}
{{{-10x/7=20/7}}}
{{{x=-2}}}

Therefore, tan(b)=-2


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