Question

Polar coordinates of a point are given. Find the rectangular coordinates of the point. (-5, -180°)
Can someone please help me?

Answer 1

How do you find rectangular coordinates?

Answer 2

This one is pretty mean, considering the opposite and the negative angle.

Answer 3

(-a, b) = (a, 180+b)

right ?

Answer 4

I expect that polar coordinates are (r, @), where r is the radius length and @ the angle above the x-axis.

r=-5 would then be wrong, though r=5 would work.

This seems to be r=5 and @=-180, graph it
putting it at x = -5 and y =0.

Answer 5

\(\bf \large{x=rcos(\theta)\qquad y=rsin(\theta)\\ \quad \\ \quad \\

\begin{array}{cccllll}
(&-5, &-180^o)\\
&\ \uparrow &\ \uparrow \\
&r&\theta
\end{array}}\)

Answer 6

Then use
x=rcos(θ) y=rsin(θ)

Answer 7

Though your radius is always positive... has to be or you'd have some inside out imaginary circle.