Question

Maddie converts z = 8(cos(300°) + isin(300°)) into rectangular form z = a + bi and determines that a = 4 and b = 4 StartRoot 3 EndRoot.
Which statement identifies whether her values for a and b are correct?

Both values a and b are correct.
Both values a and b are incorrect.
The value of a is correct, but the value of b is incorrect.
The value of a is incorrect, but the value of b is correct.

Answer 1

Answer:

Option C) The value of a is correct, but the value of b is incorrect.

Step-by-step explanation:

z = 8(cos(300°) + isin(300°))

z = 8cos(300°) + 8isin(300°)

$z = 4 + i(-4\sqrt{3})\\z=4-i(4\sqrt{3} )$

So we can see that a = 4 which is correct but b = $-4\sqrt{3}$ and b in the question says it is b $4\sqrt{3}$ so its incorrect so Option C is your answer.

Answer 2

Answer:

C

Step-by-step explanation:

I am Always right