Question 967283


A) {{{3}}}.{{{tan(3*theta)}}} - {{{sqrt(3)}}} = 0,


      {{{tan(3*theta)}}} = {{{sqrt(3)/3}}} = {{{1/sqrt(3)}}},


      {{{3*theta}}} = 30°  or  180° + 30° = 210°,


      {{{theta}}} = 10°  or  {{{210/3}}} = 70°.



B) {{{3}}}.{{{csc (theta/2)}}} - {{{2}}}.{{{sqrt(3)}}} = 0,


      {{{1/sin(theta/2)}}} = {{{2/sqrt(3)}}},


      {{{sin(theta/2)}}} = {{{sqrt(3)/2}}},


      {{{theta/2}}} = 60°  or  120°,


      {{{theta}}} = 120°  or  240°.