Which of the following represents the complex number 4 in polar form?

₹0.0

Question: Which of the following represents the complex number 4 in polar form?

Options:

Correct Answer: 4(cos 0 + i sin 0)

Solution:

The polar form of a complex number r(cos θ + i sin θ) where r is the modulus and θ is the argument. Here, 4 = 4(cos 0 + i sin 0).

Which of the following represents the complex number 4 in polar form?

Which of the following represents the complex number 4 in polar form?

Step 1: Understand that a complex number can be represented in polar form as r(cos θ + i sin θ).
Step 2: Identify the complex number we are working with, which is 4.
Step 3: Determine the modulus (r) of the complex number. For the number 4, the modulus is 4.
Step 4: Find the argument (θ) of the complex number. Since 4 is a positive real number, its argument is 0 degrees (or 0 radians).
Step 5: Substitute the values of r and θ into the polar form equation: 4 = 4(cos 0 + i sin 0).
Step 6: Conclude that the polar form of the complex number 4 is 4(cos 0 + i sin 0).

No concepts available.