Several points are shown on the complex plane.Which point is represented by 6 times the quantity cosine 5 pi over 6 plus i times sine 5 pi over 6 end quantity question mark

Question

asked Dec 28, 2023 104k views

1 Answer

Mmabdelgawad · Answer 1 · 2024-01-01T14:01:17+0000

Given the point in the complex plane

$6(cos((5\pi)/(6))+isin((5\pi)/(6)))$

since

$Cos((5\pi)/(6))=-0.86602$
$6Cos((5\pi)/(6))=-5.19615$

and

$\sin\left((5\pi)/(6)\right)=0.5$
$6\sin\left((5\pi)/(6)\right)=3$

then the point in the complex plane could be represented as

Then the correct point is the graph is Q

$Q(-5.196,15+3\imaginaryI)$