Question

Plot the point given in polar coordinates.Find three additional polar representations of the point, using −2 < < 2. (Enter your answers in order from smallest to largest first by r-value, then by -value.)

Answer 1

`\begin{gathered} Given\text{ the point \lparen9,}(-\pi)/(3)) \\ To\text{ graph it, we first go to circle nine. All diagrams shown in the question extend to circle nine.} \end{gathered}`
`\begin{gathered} The\text{ direction, }\theta\text{ = }(-\pi)/(3) \\ The\text{ is a clockwise direction. The graph should therefore be in quadrant four.} \\ Correct\text{ option: C} \end{gathered}`

Correct graph: C

`\begin{gathered} 1st\text{ alternative form:} \\ (-9,(2)/(3)\pi)\frac{}{} \\ 2nd\text{ alternative form:} \\ (9,(5)/(3)\pi) \\ 3rd\text{ alternative form:} \\ (-9,(8)/(3)\pi) \end{gathered}`