Question

URGENTE URGENTE ME AJUDEM Passe para Forma Algébrica os numeros complexos 1) 2(cos pi/3 + sen pi/3) 2) 5(cos 5pi/3 + sen 5pi/3)
3) 6(cos 5pi/6) + sen 5pi/6)

Answer 1

$2(cos \frac{ 5\pi }{3} + sen \frac{5 \pi }{3} ) = > 2( \frac{1}{2} + \frac{ \sqrt{3} }{3} ) => 2* \frac{1+ \sqrt{3} }{2} \\ \\ Resp. =>1 + \sqrt{3} \\ \\ \\ 5(cos \frac{5 \pi }{3} + sen \frac{5 \pi }{3}) ) => 2( \frac{1}{2}- \frac{ \sqrt{3}}{2} ) => 2 * - \frac{1 + \sqrt{3} }{2} \\ \\ Resp. => -(-1+ \sqrt{3} \\ \\ \\ 6(cos \frac{ 5\pi }{6} + sen \frac{ 5\pi }{6} ) = >6(- \frac{ \sqrt{3} }{2} + \frac{1}{2}) => 6 - \frac{-1+ \sqrt{3} }{2} \\ \\ \\ Resp.=> -(-3+3* \sqrt{3} )$