Question

Express the complex number in trigonometric form.

-2 + 2square root of threei

Answer 1

@mathmath333

Answer 2

@dan815

Answer 3

SOMEONE HELP

Answer 4

what 2 things do we need to determine for the trig form?

Answer 5

the absolute value? @amistre64

Answer 6

hmm, i was thinking a radius and an angle

Answer 7

oh sorry, I have no idea how to do this

Answer 8

spose we plot some point (x,y) define as some complex number: x + iy



we can then determine the distance from the origin, and the angle the ray makes with the x axis

Answer 9

r = sqrt(x^2+y^2)

a = tan^(-1) (y/x)

Answer 10

okay so I plug the numbers into that formula?

Answer 11

what else would you do with a formula?

trig defines x = r cos(a) and y=r sin(a)

therefore our trig form of a complex number is:

x + iy to r cos(a) + r i sin(a)

or simplified to: r (cos(a) + i sin(a))

Answer 12

4(cos5pi/6+isin5pi/6)?

Answer 13

?

Answer 14

\[\Large \underbrace{-2}_x+i~\underbrace{2\sqrt3}_y\]
\[r=\sqrt{x^2+y^2}=\sqrt{4+12}=4~;~is~fine\]
\[\alpha=tan^{-1}(-\frac{1}{\sqrt3})=30^o~(Q2)\]

Answer 15

yeah, looks good to me in my head lol