What is the trigonometric form of $(-6-5i)$ ?

Question

2210 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-14T07:11:00

$color(gray)((-6 - i 5) = (7.81 cos (219.8) + i 7.81 sin (219.8))$

$z = (-6 - i 5)$

Polar form $(r, theta)$

$r = |sqrt((-6)^2 + (-5)^2| = |sqrt61 | = 7.81$

$theta = arctan (-5/-6) = arctan (5/6) = 180 + 39.8^@ = 219.8^@, " III Quadrant"$

Trigonometric form of $z = (rcos theta + i r sin theta)$

$color(gray)((-6 - i 5) = (7.81 cos (219.8) + i 7.81 sin (219.8))$

What is the trigonometric form of (-6-5i) (-6-5i) ?