Precalculus Honors
11.1 Converting Polar Equations
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Convert each polar equation to a rectangular equation.
1. r = 3cosθ
2. r = 2 − 2 sin θ
3. r = 1 + 2 cosθ
4. r = 2 − cos θ
5. r = 5
6. r = 2 secθ
Find a polar equation that has the same graph as the rectangular equation.
7. y = 2
8. x 2 + y 2 = 16
9. x 2 + y 2 = 2 x
10. (x 2 + y 2 ) = x 2 − y 2
2
Precalculus Honors
11.1 Converting Polar Equations
Homework:
Convert each rectangular equation into its polar form.
1. x 2 = 8 y
2. y 2 = 6 x
3. ( x − 1) + y 2 = 1
2
4. ( x − 1) − y 2 = 1
2
5. ( y − 1) − x 2 = 1
2
6. 9 x 2 + 25 y 2 = 225
7. x 2 + y 2 + 6 x = 0
8. ( x − 3) + ( y − 4 ) = 25
2
2
9. x 2 − y 2 = 4
Convert each polar equations to its rectangular form.
10. r 2 cos 2θ = 1
11. r ( r sin 2 θ − cos θ ) = 3
12. r = 2sin 2θ
Name______________________
Date_______________________
Precalculus Honors
11.1 Converting Polar Equations
Name______________________
Date_______________________
Precalculus Honors
11.1 Converting Polar Equations
Name______________________
Date_______________________
Precalculus Honors
11.1 Converting Polar Equations
Name______________________
Date_______________________
Precalculus Honors
11.1 Converting Polar Equations
Name______________________
Date_______________________