Question

Is this right?
Convert the polar coordinate (-14, 5pi/3) to rectangular form.
Does it mean rectangular coordinates and if so can you check my work?

answer:

r=-14
theta=5pi/3

x=-14 cos 5pi/3
x=-14(0.5)
x=-7

y=rsintheta
y=-14 sin 5pi/3
y=-14(-0.866)
y=12.124

(-7,12.124)

Answer 1

I would leave the y value in exact form
y = r sinØ
= -14(√3/2) = -7√3

you also missed the negative sign in your y value

exact point (-7, -7√3)

Answer 2

actually, you are correct, since 5pi/3 is in QIV, so with r = -14, the point is in QII, with y positive.