Question 992819
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Let  x  be  tan(x):   x = tan(x).


Then  cot(x) = {{{1/x}}},  and you have an equation


x - {{{1/x}}} = 2.


Simplify and solve it:


{{{x^2}}} - {{{2x}}} - {{{1}}} = {{{0}}},


{{{(x-1)^2}}} = {{{0}}}.


The root is   x = 1.


Thus  tan(x) = 1.


x = {{{pi/4}}} = 45°  and/or  x = {{{pi/4 + pi}}} = {{{5pi/4}}} = 225°.