Question

Find the fifth roots of 243(cos 300° + i sin 300°).

Answer 1

Will fan and medal
@Hero @johnweldon1993 @Preetha

Answer 2

@baru

Answer 3

do you know demoivres theorem?

Answer 4

yeah. i think i have it. is this it?
243(cos 300+ i sin300)
243(cos 12+ i sin12)
243(cos 84+ i sin84)
243(cos 156+ i sin156)
243(cos 228+ i sin228)

Answer 5

\[3^5=243\]

Answer 6

is what i have up there correct? @baru

Answer 7

no

Answer 8

which parts are wrong?

Answer 9

\[3^5=243\]

Answer 10

A) 3(cos 300° + i sin 300°), 3(cos 372° + i sin 372°), 3(cos 444° + i sin 444°), 3(cos 516° + i sin 516°),
3(cos 588° + i sin 588°)
B) 3(cos 60° + i sin 60°), 3(cos 150° + i sin 150°), 3(cos 240° + i sin 240°), 3(cos 330° + i sin 330°),
3(cos 375° + i sin 375°)
C) 3(cos 60° + i sin 60°), 3(cos 132° + i sin 132°), 3(cos 204° + i sin 204°), 3(cos 276° + i sin 276°),
3(cos 348° + i sin 348°)
D) 3(cos 300° + i sin 300°), 3(cos 390° + i sin 390°), 3(cos 480° + i sin 480°), 3(cos 570° + i sin 570°),
3(cos 615° + i sin 615°)

Answer 11

its C, nevermind. Thanks!!