Convert polar to rectangular coordinates

Convert the rectangular equation to polar form.
 $y=\frac{x}{2}$  

•  $\theta=\frac{5\pi}{6}$  

•  $\cot\theta=2$  

•  $\cot\theta=5$  

•  $\theta=\frac{3\pi}{4}$  

Convert the rectangular equation to polar form.
 $x^2+y^2=16$  

•  $r=4$  

•  $r=16$  

•  $r=4\cos\theta+4\sin\theta$  

•  $r=4\sin\theta$  

Convert the polar equation to rectangular form.
 $\theta=\frac{5\pi}{6}$ 

•  $y=-\frac{x\sqrt{3}}{3}$ 

•  $y=\frac{x}{4}$ 

•  $y=x$ 

•  $y=-x\sqrt{3}$ 

Which are the two equations we use for converting from polar to rectangular?

• $x=r\cos\theta$

• $x=v\sin\theta$

• $y=r\sin\theta$

• $y=vt\cos\theta$