Find the cube roots of 27 (cos 327° + i sin 327°). Write the answer in trigonometric form.

3 (cos 109° + i sin 109°)

3 (cos 229° + i sin 229°)

3 (cos 349° + i sin 349°)

Step-by-step explanation:

27 (cos 327° + i sin 327°)

Modulus: 27^⅓ = 3

Arguments:

327/3 = 109

(327+360) / 3 = 229

(327+2 (360)) / 3 = 347

Cube roots are:

3 (cos 109° + i sin 109°)

3 (cos 229° + i sin 229°)

3 (cos 349° + i sin 349°)