What is the polar form of (-6, 12)?

Olivia Mcgrath

Olivia Mcgrath

Answered question

2022-02-01

What is the polar form of (-6, 12)?

Answer & Explanation

vhudzeniy2n

vhudzeniy2n

Beginner2022-02-02Added 16 answers

Step 1
Using formulae that links Cartesian to Polar coordinates.
r2=x2+y2
θ=tan1(yx)
hence r2=(6)2+122=36+144=180
r2=180r=180=65
since (-6, 12 ) is a point in the 2nd quadrant , care must be taken to
ensure that θ is in the 2 nd quadrant
θ=tan1(126)=tan1(2)=1.1 radians
θ=(π1.1)2.04 radians

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