Hallie

Como você escreve o número complexo na forma trigonométrica # 6-7i #? Responda: #sqrt85(cos(0.862)-isin(0.862))# Explicação: #”to convert from”color(blue)” complex to trig. form”# #”that is “x+yitor(costheta+isintheta)” using”# #•color(white)(x)r=sqrt(x^2+y^2)# #•color(white)(x)theta=tan^-1(y/x)color(white)(x);-pi< theta <=pi# #”here “x=6” and “y=-7# #rArrr=sqrt(6^2+(-7)^2)=sqrt85# #6-7i” is in the fourth quadrant so we must ensure that “theta# #”is in the fourth quadrant”# #rArrtheta=tan^-1(7/6)=0.862larrcolor(red)” related acute … Ler mais