What is the polar form of (-5, 3)?

ku3sump8

ku3sump8

Answered question

2022-02-02

What is the polar form of (-5, 3)?

Answer & Explanation

Biscatta9rz

Biscatta9rz

Beginner2022-02-03Added 14 answers

Step 1
Using the formulae that links Cartesian to Polar coordinates.
r2=x2+y2
θ=tan1(yx)
here x=5 and y=3
hence r2=(5)2+32=25+9=34r=34
Now the point (-5,3) is in the 2nd quadrant so care must be taken to ensure θ is in the 2 nd quadrant
θ=tan1(35)=0.54 radians
θ=(π0.54)2.6 radians

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