Use De Moivre's theorem to find the indicated power of the complex number. Write the answer in rectangular form.[2(cos10∘ + i sin10∘)]^3.

Step-by-step explanation:

Given complex number is:

To find:

Answer in rectangular form after using De Moivre's theorem = ?

i.e. the form (not in forms of angles)

Solution:

De Moivre's theorem provides us a way of solving the powers of complex numbers written in polar form.

As per De Moivre's theorem:

So, the given complex number can be written as:

Now, using De Moivre's theorem:

So, the answer in rectangular form is:

b. f(x) = –√x + 3this is the correct answer