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((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

`(-5.19615+3i)`

Then the correct point is the graph is Q

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