Precalculus Honors Name______________________

11.1 Converting Polar Equations Date_______________________

Convert each polar equation to a rectangular equation.

1. r 3cos 2. r 2 2sin

3. r 1 2cos 4. cos2 r

5. r 5 6. sec2r

Find a polar equation that has the same graph as the rectangular equation.

7. 2y 8. 1622 yx

9. xyx 222 10. 22222 yxyx

Precalculus Honors Name______________________

11.1 Converting Polar Equations Date_______________________

Homework:

Convert each rectangular equation into its polar form.

2

2

2 2

2 2

2 2

2 2

2 2

2 2

2 2

1. 8

2. 6

3. 1 1

4. 1 1

5. 1 1

6. 9 25 225

7. 6 0

8. 3 4 25

9. 4

x y

y x

x y

x y

y x

x y

x y x

x y

x y

Convert each polar equation to its rectangular form.

2

2

10. cos 2 1

11. sin cos 3

12. 2sin 2

r

r r

r

Precalculus Honors Name______________________

11.1 Converting Polar Equations Date_______________________

Precalculus Honors Name______________________

11.1 Converting Polar Equations Date_______________________

Precalculus Honors Name______________________

11.1 Converting Polar Equations Date_______________________