Polar

Write the coordinates of the point in polar form with r < 0 and

 $0\le\theta<2\pi$  

•  $\left(3,\ \frac{\pi}{3}\right)$  

•  $\left(-3,\ \frac{\pi}{3}\right)$  

•  $\left(3,\ \frac{4\pi}{3}\right)$  

•  $\left(-3,\ \frac{4\pi}{3}\right)$  

Tags

CCSS.HSN.CN.B.4

Convert

 $\left(2,\ -2\sqrt{3}\right)$  to polar coordinates with r > 0 and  $0\le\theta<2\pi$  

•  $\left(4,\ \frac{11\pi}{6}\right)$  

•  $\left(4,\ \frac{5\pi}{3}\right)$  

•  $\left(2\sqrt{2},\ \frac{5\pi}{3}\right)$  

•  $\left(4,\ \frac{2\pi}{3}\right)$  

Tags

CCSS.HSN.CN.B.4

Which polar equation matches the graph?

• $r\ =\ 2\csc\theta$

• $r\ =\ 4\csc\theta$

• $r\ =\ 2\sec\theta$

• $r\ =\ 4\sec\theta$

Tags

CCSS.HSF-IF.C.7D

Which of the following polar equations matches the graph?

•  $r\ =\ -8\cos\theta$  

•  $r\ =\ -4\cos\theta$  

•  $r\ =\ -4\sin\theta$  

•  $r\ =\ 8\cos\theta$  

Which of the following polar equations matches the graph?

• $r\ =\ 3+\sin\theta$

• $r=1-3\cos\theta$

• $r=1+3\sin\theta$

• $r=3+3\sin\theta$

Which of the following polar equations matches the graph?

• $r\ =\ 1-3\cos\theta$

• $r=2-2\cos\theta$

• $r=2+2\sin\theta$

• $r=2+2\cos\theta$

Which of the following is the graph of  $r\ =\ 3\sin5\theta$  ?

• 
• 
• 
• 

Which of the following polar equations matches the graph?

• $r=3\cos2\theta$

• $r=3\sin2\theta$

• $r=2\cos3\theta$

• $r=3\sin4\theta$

Polar equations of the form  $r\ =\ a\sin n\theta$  have graphs that make a rose with petals.  Which of the following is not a possible number of petals?

• 8

• 9

• 10

• 11

What is the modulus of  $z\ =\ 8\ -\ 6i$  ?

•  $2\sqrt{7}$  

•  $100$  

•  $\sqrt{14}$  

•  $10$