Converting Polar & Rectangular Equations

Converting Polar & Rectangular Equations

Assessment

Assessment

Created by

Jean Carcedo

Mathematics

10th - 12th Grade

Hard

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10 questions

Show answers

1.

Multiple Choice

30 sec

1 pt

Convert the rectangular equation to polar form.
 y=x2y=\frac{x}{2}  

 θ=5π6\theta=\frac{5\pi}{6}  

 cotθ=2\cot\theta=2  

 cotθ=5\cot\theta=5  

 θ=3π4\theta=\frac{3\pi}{4}  

2.

Multiple Choice

30 sec

1 pt

Convert the rectangular equation to polar form.
 y=x3y=-x\sqrt{3}  

 cotθ=2\cot\theta=2  

 tanθ=1\tan\theta=1  

 cotθ=5\cot\theta=5  

 θ=2π3\theta=\frac{2\pi}{3}  

3.

Multiple Choice

30 sec

1 pt

Convert the rectangular equation to polar form.
 (x3)2+y2=9\left(x-3\right)^2+y^2=9  

 r=6cosθr=6\cos\theta  

 r=2cosθ+6sinθr=-2\cos\theta+6\sin\theta  

 r=6cosθ+2sinθr=6\cos\theta+2\sin\theta  

 r=6sinθr=-6\sin\theta  

4.

Multiple Choice

30 sec

1 pt

Convert the rectangular equation to polar form.
 x2+y2=16x^2+y^2=16  

 r=4r=4  

 r=16r=16  

 r=4cosθ+4sinθr=4\cos\theta+4\sin\theta  

 r=4sinθr=4\sin\theta  

5.

Multiple Choice

30 sec

1 pt

Convert the rectangular equation to polar form.
 x2+(y2)2=4x^2+\left(y-2\right)^2=4 

 r=4sinθr=4\sin\theta 

 r=6sinθr=6\sin\theta 

 r=2cosθ+4sinθr=-2\cos\theta+4\sin\theta 

 r=4cosθ2sinθr=-4\cos\theta-2\sin\theta 

6.

Multiple Choice

30 sec

1 pt

Convert the polar equation to rectangular form.
 θ=5π6\theta=\frac{5\pi}{6} 

 y=x33y=-\frac{x\sqrt{3}}{3} 

 y=x4y=\frac{x}{4} 

 y=xy=x 

 y=x3y=-x\sqrt{3} 

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