Convert the polar coordinates (120.2, 119°) into rectangular coordinates. Round the rectangular coordinates to the nearest hundredth.

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19-06-2018
Mathematics

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Convert the polar coordinates (120.2, 119°) into rectangular coordinates. Round the rectangular coordinates to the nearest hundredth.

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sqdancefan sqdancefan · Answer 1 · 2018-06-20T02:55:04+02:00

sqdancefan sqdancefan

20-06-2018

The conversion is
x = magnitude × cos(angle)
y = magnitude × sin(angle)
or
(x, y) = 120.2(cos(119°), sin(119°)) ≈ (-58.27, 105.13)

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A suitable graphing calculator handles this easily.

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