Question

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

Answer 1

Given the point in the complex plane

$6(cos(\frac{5\pi}{6})+isin(\frac{5\pi}{6}))$

since

$Cos(\frac{5\pi}{6})=-0.86602$$6Cos(\frac{5\pi}{6})=-5.19615$

and

$\sin\left(\frac{5\pi}{6}\right)=0.5$$6\sin\left(\frac{5\pi}{6}\right)=3$

then the point in the complex plane could be represented as

$(-5.19615+3i)$

Then the correct point is the graph is Q

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