Converting between Polar and Rectangular Form - Coordinates & Equations Warm up

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Convert from rectangular (x,y) to polar (r,θ) in degrees (5, 3)

(√34, 31°)

Convert from rectangular (x,y) to polar (r,θ) in degrees (-3, 7)

(√58, 113.2°)

Convert from rectangular (x,y) to polar (r,θ) in degrees (-7, -3)

(√58, 203.2°)

Convert from rectangular (x,y) to polar (r,θ) in degrees (7, -3)

(√58, 336.8°)

Convert the equation from rectangular form to polar form. 2x+3y=1

2rcosθ+3rsinθ=1

Convert the equation from rectangular form to polar form. y²=4-x²

r=2

Convert the equation from rectangular form to polar form. x = -2

rcosθ=-2

Convert the equation from rectangular form to polar form. y = -2

rsinθ=-2

Convert the equation from polar form to rectangular form. rcosθ=3

x = 3

Convert the equation from polar form to rectangular form. r=3

x² + y² = 9

Convert the equation from polar form to rectangular form. r=3sinθ

x²+y² = 3y

Convert the equation from polar form to rectangular form. rsinθ=3

y = 3

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