How do you divide ( -4i+2) / (i+7) in trigonometric form?

1 Answer
Binayaka C.
May 6, 2016

In trigonometric form : 0.632[cos(-71.565)+i sin(-71.565)]

Explanation:

(-4i+2)/(i+7) = ((-4i+2)(i-7))/((i+7)(i-7)) = (-4*i^2-14+30*i)/(i^2-7^2) =(-1/50)*(-10+30i)=0.2-0.6i. Let Z=0.2-0.6i Modulas Z= sqrt(0.2^2+(-0.6)^2) = .632 Argument Z theta=tan^-1((-0.6)/(0.2))=tan^-1(-3)=-71.565^0 Hence Z expressed in trigonometric form: 0.632[cos(-71.565)+i sin(-71.565)][Ans]

Related questions
See all questions in The Trigonometric Form of Complex Numbers
Impact of this question
1392 views around the world
You can reuse this answer
Creative Commons License