Question

Consider the point:(r,θ)=(6,−7).On the graph below, drag the purple point to the location (6,−7), and then select the equivalent representations of the point from the provided list.Equivalent polar representations of (r,θ)=(6,−7):(−6,−7−2π)(−6,−7+2π)(6,−7+2π)(−6,7)(6,−7−2π)

Answer 1

Equilvalent representatins:

`\begin{gathered} (6,-7+2\pi) \\ (6,-7-2\pi) \end{gathered}`

Explanation:

The equivalent point is found by adding or subtracting 2pi radians from the angle since a full revolution brings a point back where it was.

Therefore, we add and subtract 2pi from the radians to get

(6, -7 + 2 pi)

(6, -7 - 2pi )