Question 1202952
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I'll assume you are working in radian mode.


Use the unit circle to go from
{{{tan(theta) = -sqrt(3)}}}
to 
{{{theta = 2pi/3 + pi*n}}}


When n = 1, then,
{{{theta = 2pi/3 + pi*n}}}


{{{theta = 2pi/3 + pi*1}}}


{{{theta = 2pi/3 + pi}}}


{{{theta = 2pi/3 + pi*(3/3)}}}


{{{theta = 2pi/3 + 3pi/3}}}


{{{theta = (2pi+3pi)/3}}}


{{{theta = (5pi)/3}}}


{{{theta = 5.235988}}} (approximate)



When n = 2, then,
{{{theta = 2pi/3 + pi*n}}}


{{{theta = 2pi/3 + pi*2}}}


{{{theta = 2pi/3 + 2pi}}}


{{{theta = 2pi/3 + 2pi*(3/3)}}}


{{{theta = 2pi/3 + 6pi/3}}}


{{{theta = (2pi+6pi)/3}}}


{{{theta = (8pi)/3}}}


{{{theta = 8.37758}}} (approximate)


You can use graphing software such as Desmos or GeoGebra to confirm these solutions. Spreadsheet software works as well. 
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