Converting Polar Equations Worksheet Name: ____________________ Convert each polar equation to rectangular form. 1. r = 5 2. r = 2 cosθ 3. r = secθ 4. r = −6sin θ 5. r = 7tan θ secθ 6-­‐8: More complex 6. r = 2 + 2 cosθ 1
7. r =
3+ sin θ
1
8. r =
4 − cosθ
5π
9. θ =
6
Convert each rectangular equation to polar form. 10. x 2 = 12 11. x 2 + y 2 = 7 12. 3x − 2y = 1 13. x − 3y = 1 14. 2x 2 + 2y 2 + 5x = 0 15. 3x 2 + 3y 2 − 2x = 0 2
16. x 2 + ( y − 2 ) − 4 = 0 2
17. ( x − 5) + y 2 − 25 = 0