Unit 7 Obj. 1 Day 2 HW

Given the polar point $\left(3,\ \frac{4\pi}{3}\right),$  find  $\left(r,\theta\right)$  for which  $r>0\ and\ -2\pi\le\theta\le0$  

•  $\left(-3,240\degree\right)$  

•  $\left(3,-240\degree\right)$  

•  $\left(3,-120\degree\right)$  

•  $\left(3,120\degree\right)$  

Given the polar point $\left(5,\ \frac{5\pi}{6}\right),$  find  $\left(r,\theta\right)$  for which  $r>0\ and\ -2\pi\le\theta\le0$  

•  $\left(-5,-150\degree\right)$  

•  $\left(5,-210\degree\right)$  

•  $\left(5,-30\degree\right)$  

•  $\left(5,330\degree\right)$  

Given the polar point $\left(5,\ \frac{5\pi}{6}\right),$  find  $\left(r,\theta\right)$  for which  $r<0\ and\ 2\pi\le\theta\le4\pi$  

•  $\left(-5,-570\degree\right)$  

•  $\left(5,870\degree\right)$  

•  $\left(-5,330\degree\right)$  

•  $\left(-5,690\degree\right)$  

For the point  $\left(1,-1\right)$  given in rectangular coordinates, find equivalent polar coordinates  $\left(r,\theta\right)$  if  $-2\pi\le\theta\le0$  .

•  $\left(\sqrt{2},-45\degree\right)$  

•  $\left(-\sqrt{2},-45\degree\right)$  

•  $\left(-\sqrt{2},\ 135\degree\right)$  

•  $\left(\sqrt{2},-135\degree\right)$  

For the point  $\left(-2,\ 2\sqrt{3}\right)$  given in rectangular coordinates, find equivalent polar coordinates  $\left(r,\theta\right)$  if  $0\le\theta\le2\pi$  .

•  $\left(4,\ 60\degree\right)$  

•  $\left(4,\ 120\degree\right)$  

•  $\left(-4,\ -60\degree\right)$  

•  $\left(-4,\ 60\degree\right)$