Educator

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Example 1:

Convert the following points from rectangular coordinates to polar coordinates: (3√ 2, − 3√ 2), (− 4,− 3), (− √ 3,1), (− 2,5).

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Example 2:

Convert the following points in polar coordinates to standard form (with r ≥ 0, 0 ≤ θ < 2π ), and then convert them to rectangular coordinates: (8,− [3π /4]), (− 6,− [11π /6]), (− 2,[11π /3]), (3,− [2π /3]).

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Example 3:

Graph the polar equation r = 2sinθ . Check your answer by converting the equation to rectangular coordinates and solving it algebraically.

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Example 4:

Convert the following points in polar coordinates to standard form (with r ≥ 0, 0 ≤ θ < 2π ), and then convert them to rectangular coordinates: (− 2,− [13π /6]), (6,− [π /3]), (− 5,[7π /4]), (− 4,− [5π /4]).

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Example 5:

Graph the polar equation r = sin2θ .

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