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UVA APMA 1110 - Homework+29+-+Polar+Coordinates

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Homework 29 – Polar Coordinates 1) Convert from rectangular to polar coordinates. a) 󰇛1,0󰇜 b) 3,√3 c) 󰇛2,2󰇜 d) 1,√3 2) Convert from polar to rectangular coordinates. a) 󰇡3,󰇢 b) 󰇡6,󰇢 c) 󰇡0,󰇢 d) 󰇡5,󰇢 3) What is the slope of the line ? 4) Convert the polar equation to an equation in rectangular coordinates. a) 7 b) 2 c)  5) Convert the rectangular equation to an equation in polar coordinates. a) 5 b) 5 c)  6) The figures below show the graphs of 2 in rectangular coordinates and in polar coordinates where it is a rose with four petals. Identify: a) The points in (II) that correspond to points A‐H in (I). b) The parts of the curve in (II) that correspond to the angle intervals 󰇣0,󰇤,󰇣,󰇤,󰇣,󰇤,󰇣,2󰇤. 7) Sketch a graph of the polar curve. Label all intercepts. a) 2 b) 2 c) 12 d) 22 e) 33 f) 3 g) 2 h)  


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UVA APMA 1110 - Homework+29+-+Polar+Coordinates

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