.Write each formula in polar form..
For this, I got sqrt(18)*(cos pi/4 + i sin pi/4)
Modulus is correct. Magnitude of angle is correct. Sign on angle is wrong. It's -pi/4 (3-3i lies in the fourth quadrant in the complex plane)
For this, I got 2*(cos 5/3 pi + i sin 5/3 pi)
Yep this is correct.
Use De Moivre's Theorem for:
Judging by your answer put the power in for you.
Your expression is correct, but the final answer is wrong. You'll find that 25pi/3 is equivalent to pi/3
I got 32 (cos 25/3 pi + i sin 25/3 pi) = 32i
Are these correct?