9.1,9.2 Review

What are the polar coordinates of A?

• $\left(2,-\frac{5\pi}{6}\right)$

• $\left(-2,-\frac{5\pi}{6}\right)$

• $\left(2,\frac{5\pi}{6}\right)$

• $\left(-2,\frac{5\pi}{6}\right)$

Tags

CCSS.HSN.CN.B.4

What are the polar coordinates of D?

•  $\left(-4,\frac{5\pi}{4}\right)$ 

•  $\left(4,\frac{3\pi}{4}\right)$ 

•  $\left(4,-\frac{\pi}{4}\right)$ 

•  $\left(4,\frac{5\pi}{4}\right)$ 

Tags

CCSS.HSN.CN.B.4

What are the polar coordinates of E?

•  $\left(-4,\frac{5\pi}{4}\right)$ 

•  $\left(-4,\frac{7\pi}{4}\right)$ 

•  $\left(-4,-\frac{\pi}{4}\right)$ 

•  $\left(4,\frac{5\pi}{4}\right)$ 

Tags

CCSS.HSN.CN.B.4

 $\left(0,-2\right)$  

Rectangular coordinates of a point are given. Find two pairs of polar coordinates for the point.

•  $\left(2,\frac{\pi}{2}\right)$  

•  $\left(2,\frac{3\pi}{2}\right)$  

•  $\left(-2,\frac{3\pi}{2}\right)$  

•  $\left(2,\pi\right)$  

•  $\left(-2,\frac{\pi}{2}\right)$  

Tags

CCSS.HSN.CN.B.4

 $\left(-4,-4\right)$  

Rectangular coordinates of a point are given. Find two pairs of polar coordinates for the point.

•  $\left(4,\frac{\pi}{4}\right)$  

•  $\left(4,\frac{5\pi}{4}\right)$  

•  $\left(4\sqrt{2},\frac{5\pi}{4}\right)$  

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

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

Tags

CCSS.HSN.CN.B.4

 $\left(6,\frac{4\pi}{3}\right)$  

Convert the point given in polar form into rectangular form.

•  $\left(-3,-3\sqrt{3}\right)$  

•  $\left(-3\sqrt{3},-3\right)$  

•  $\left(-3,3\sqrt{3}\right)$  

•  $\left(-3\sqrt{3},3\right)$  

 $\left(-2,-\frac{3\pi}{4}\right)$  

Convert the point given in polar form into rectangular form.

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

•  $\left(\sqrt{2},\sqrt{2}\right)$  

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

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

 $r=7$  

Convert the polar equation to rectangular.

•  $x+y=7$  

•  $y=7\sin\theta$  

•  $x=7\cos\theta$  

•  $x^2+y^2=49$  

Tags

CCSS.HSN.CN.B.4

 $r=2\sin\theta$  

Convert the polar equation to rectangular

•  $x^2+\left(y-1\right)^2=1$  

•  $x^2+\left(y+1\right)^2=1$  

•  $x+y=2\sin\theta$  

•  $x^2+y^2=4\sin^2\theta$  

Tags

CCSS.HSN.CN.B.4

 $r=\frac{6}{\cos\theta+3\sin\theta}$  

Convert the polar equation to rectangular

•  $x+y=\frac{6}{x+3y}$  

•  $y=-\frac{1}{3}x+2$  

•  $x^2+y^2=\frac{6}{x+3y}$  

•  $y=3x+2$