Question

Three cube roots of 125(cos37°+ i sin37°) are ? answers in Trigonometric form please

Answer 1

Why dont you try it the satellite73 way? Commo'n You start and I will help you wherever possible

Answer 2

lol, i did ^^ and I'm stuck at the 3rd part, i got the other two answers though ^^

Answer 3

One answer is z=5(cos 12.33 + i sin 12.33) ..... You must have got this

Answer 4

ok answer 1 : 5(cos12.3°+ i sin12.3°)
answer 2 : 5(cos132.3°+ i sin132.3°)
answer 3: stuck -.-

Answer 5

yes yes !! ^^

Answer 6

glad i got something right lol :)

Answer 7

third answer = cos ( (12.3+ 720)/3) + i sin((12.3+720)/3)

Answer 8

let @satellite73 check this

Answer 9

he's off but your answer is good though ^^

Answer 10

Btw, your secind answer should be cos ( (12.3+ 360)/3) + i sin((12.3+360)/3)

Answer 11

you know what i think you're right

Answer 12

yea and it's 132.3 just like what i had :D

Answer 13

i think you're right with the third answer, do you just add another 360 to that 360 to get 720 ?

Answer 14

:D

Answer 15

and what about if the question is ask for a fourth root, then you add another 360 ?

Answer 16

Yes. But you have to divide by 4

Answer 17

For all roots

Answer 18

yea i understand that, but if it was fourth root, then what do you add on the fourth one? i mean on the third root u add it with 12.3 right? what about fourth root? do you still add it with 12.3 ? or 132.3 ?

Answer 19

Well for fourth root, it would be sqrt(5){ cos (37/4)+ i sin(37/4)}

Answer 20

2nd answer: sqrt(5){ cos (37+360/4)+ i sin(37+360/4)}

Answer 21

4th answer sqrt(5){ cos (37+1080/4)+ i sin(37+1080/4)}

Answer 22

ok i get it ^^

Answer 23

i kind did it different but as long as we got same answer then we'll good ^^

Answer 24

OK :D It 3 am here. I better catch some sleep

Answer 25

omg really ?

Answer 26

sorry for keeping you up so late :(

Answer 27

i didn't know lol -.-

Answer 28

No It's my pleasure learning math :)

Answer 29

ah :D, thanks again for your help ^^