Question

Please explain your answer and I'll mark the Brainliest! Which complex number is the graph showing?

Answer 1

Answer:

A 2√2(cos 7π/4 + i sin 7π/4)

Step-by-step explanation:

A. 2√2(cos 7π/4 + i sin 7π/4)

2 sqrt(2) ( sqrt(2)/2 - sqrt(2)/2 i)

Distribute

  2-2i

This is in the fourth quadrant  

B. 2√2(cos 150° + i sin 150°)

2 sqrt(2) (-sqrt(3)/2 +1/2i)

-sqrt(6) +sqrt(2) i

This is in the third quadrant (NO)

C. 2(cos 7π/4 + i sin 7π/4)

2( ( sqrt(2)/2 - sqrt(2)/2 i))

sqrt(2) - sqrt(2) i

This is the fourth quadrant

D. 2(cos 90° + i sin 90°)

2(0+i)

2i

This is on the positive y axis  NO

Now we need to decide between the two in the fourth quadrant.

The point has an x coordinate of 2 and a y coordinate of -2

This aligns with point A