Question

Find the fifth roots of 243(cos 240° + i sin 240°).
Please help me!

Answer 1

Fifth roots of 243 e^(i 240deg)?

Answer 2

i know the 5th root is 3..

so it would be
3(cos __ +i sin __). im having trouble finding the degrees

Answer 3

Well the angle part is 4i pi/15 (so 4 pi/15 radians or 48 degrees goes in your blank), but that's just one of the five roots in the complex plane.

Answer 4

3(cos 72 + i sin 72)
3(cos 144 + i sin 144)
3(cos 216 + i sin 216)
3(cos 288+ i sin 288)
3(cos 360 + i sin 360)

is this correct?

Answer 5

No, I think the angles, in degrees, are 48, 120, 192, 264, 336.

Answer 6

okay so its
3(cos48 + i sin 48)
3(cos 120 + i sin 120)
3(cos 192 + i sin 192)
3(cos 264 + i sin 264)
3(cos 336 + i sin 336)

Answer 7

Yes, I believe that's correct.

Answer 8

Thanks again!

Answer 9

welcome

Answer 10

any time @love4pinkxx