Answer:
The rectangular form is - 1.63 + 4.73i ⇒ 2nd answer
Step-by-step explanation:
The rectangular form of r(cos Ф + i sin Ф) is x + i y, where
∵ 5(cos 109° + i sin 109°)
- Compare it by the form r(cos Ф + i sin Ф)
∴ r = 5
∴ Ф = 109°
- Use the rectangular form up
∵ x = r cos Ф
∴ x = 5 cos 109°
∴ x = - 1.627840
- Round it to two decimal places
∴ x = - 1.63
∵ y = r sin Ф
∴ y = 5 sin 109°
∴ y = 4.727592
- Round it to two decimal places
∴ y = 4.73
∵ The rectangular form is x + i y
- Substitute the values of x and y
∴ The rectangular form is - 1.63 + 4.73i
