Question 1040633
Definition:   {{{sec(x)=1/cos(x)}}}


Basic Identity:   {{{cos^2(x)+sin^2(x)=1}}}


{{{(cos^2(x))/cos^2(x)+(sin^2(x))/(cos^2(x))=1/cos^2(x)}}}


{{{1+tan^2(x)=sec^2(x)}}}



Given Equation:  {{{sec^2(x)+tan(x)=3}}}, along with  {{{0<x<360}}}.
-
{{{1+tan^2(x)+tan(x)=3}}}


{{{tan^2(x)+tan(x)-2=0}}}
-
{{{tan(x)=(-1+- sqrt(1^2-4*(-2)))/2}}}


{{{tan(x)=(-1+- sqrt(1+8))/2}}}


{{{tan(x)=(-1+- 3)/2}}}


{{{system(tan(x)=-2,OR,tan(x)=1)}}}


Your assigned domain will give about four different solutions.