Question

Write each expression in the standard form for a complex number, a + bi.
a. [3(cos(27°)) + isin(27°)]^5
b. [2(cos(40°)) + isin(40°)]^6

Answer 1

@Babynini

Answer 2

@rvc

Answer 3

what radian does cos27(degrees) relate too?

Answer 4

Next, what does sin(27degrees) relate too in terms of radian?

Answer 5

one sec..

Answer 6

kk :) these are kind of meh numbers :| haha

Answer 7

(rvc, if you could take this one that would be fantastic. I have like a 10 pg essay due tomorrow an i'm on the second page xD)
Shorty, I shall try to help you as long as I can!

Answer 8

@perl, @rational

Answer 9

ok

Answer 10

@rvc

Answer 11

are you asking me what 27 degrees is in radian or are you asking me what cos(27 degrees) and sin(27 degrees) equal in radians?

Answer 12

what cos(27) and sin(27) equal. Basically what we want to do is replace cos(27) an sin(27) by their equals.

let's say (hypothetically) you had [3(cos(90) +isin(90))]^5
cos of 90 = 0 an sin 90= 1
plugging that into this equation would look like:
[3(0)+i(1)]^ 5
which makes it soo much simplier.
does that make sense?

Answer 13

yeahh

Answer 14

err but your numbers are sketchy because they don't correlate to an exact easy radian on the circle o_o

Answer 15

@IrishBoy123

Answer 16

is this right?
cos (27 degrees) = .89100652418 = 0.89
sin (27 degrees) = .45399049974 = 0.45

Answer 17

yep that's correct! :)

Answer 18

err so now I would replace the sin an cos in your equation, and multiply the 3 in

Answer 19

Do i use the rounded decimals or the full ones?

Answer 20

and what about "i"?

Answer 21

full ones

Answer 22

it's a + bi form :) so the i stays

Answer 23

ok

Answer 24

[2.67 + 1.36i]^5 should be your answer so far. I'm not sure what to do with that ^5 though o.o

Answer 25

Yeah, that's what I got. @rvc , do you know what to do next?

Answer 26

good luck with the rest! :) hope someone helps soon hah

Answer 27

thanks

Answer 28

(you can start working on the second one and get to that same point)

Answer 29

ok

Answer 30

can you help me @rvc

Answer 31

@IrishBoy123

Answer 32

@BellaWolfe

Answer 33

@rational @perl please help

Answer 34

aye! yes shorty?

Answer 35

can you help solve the rest of the problem?

Answer 36

...what do i do with the rest of the problem? cross multiply? divisible quadrilaterals?

Answer 37

nvm

Answer 38

aye! im dumb...remember that! ^~^ good luck! beste Wünsche zu Ihnen Shorty ...