Question

Which complex number would be graphed at the point (-2,2)?

a) 2(cos7pi/4+i sin 7pi/4)
b) -2(cos135+i sin 135)
c) 2sqrt(2)(cos3pi/4 + i sin 3pi/4)
d) 2sqrt(2)(cos 225 + i sin 225)

Answer 1

\[r=\sqrt{2^{2}+2^{2}}=\sqrt{8}=2\sqrt{2}\]
The angle is in the second quadrant. So that leaves one choice.

Answer 2

Which answer is that?

Answer 3

Which one of C and D has the angle in the second quadrant?

Answer 4

Is it C?

Answer 5

THANK YOU! IT WAS! Thank you for narrowing it down for me, you're a life saver.

Answer 6

The correct choice is C. Choice D has the angle in the third quadrant.

Answer 7

You're welcome :)