13
QuizMultiple Choice

Polar Form of Complex Numbers

Question 13 • CUSD Advanced Math A (5.0)

Convert (4, –2) into approximate polar coordinates.

Answer
A
r = 3.46; θ = –0.46
B
r = 3.46; θ = 0.46
C
r = 4.47; θ = –0.46
D
r = 4.47; θ = 0.46

Explanation

Use r = √(x² + y²): √(4² + (−2)²) = √20 ≈ 4.47. The angle is θ = arctan(y/x) = arctan(−2/4) ≈ −0.46 radians, so the approximate polar coordinates are r = 4.47 and θ = −0.46.

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