CONVERTING BETWEEN POLAR AND RECTANGULAR EQUATIONS HOMEWORK

Problems 1-10 : Convert each polar equation to rectangular form.

Problem 1 :

r = 2

Problem 2 :

tan θ = 2

Problem 3 :

Problem 4 :

r sin θ = 3

Problem 5 :

r = 2cos θ

Problem 6 :

r = 4cos θ - 4sin θ

Problem 7 :

r = 2cos θ + 2sin θ

Problem 8 :

Problem 9 :

Problem 10 :

r² = 5 sec (2θ)

Problems 11-16 : Convert each rectangular equation to polar form.

Problem 11 :

x = y²

Problem 12 :

y = x²

Problem 13 :

2x - 5y = 4

Problem 14 :

x² + y² = 9

Problem 15 :

x² + y² - 7y = 0

Problem 16 :

(x - 1)² + (y + 1)² = 2

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