Question #a5860

1 Answer
Mar 31, 2017

x = (-pi/4 +k pi) uu (pi/3+kpi) for k in ZZ

Explanation:

Multiplying both sides by tanx

tan^2x+(1-sqrt3)tanx-sqrt3=0 so

tanx = (-(1-sqrt3)pm sqrt((1-sqrt3)^2-4 sqrt 3))/2={(-1),(sqrt3):}

or {(tanx = -1->x=-pi/4 +k pi),(tanx = sqrt3->x=pi/3+kpi):}

so

x = (-pi/4 +k pi) uu (pi/3+kpi) for k in ZZ