What is the polar form of <mstyle displaystyle="true"> ( - 7 ,

Augustus Acevedo

Augustus Acevedo

Answered question

2022-07-01

What is the polar form of ( - 7 , 1 ) ?

Answer & Explanation

Kaylie Mcdonald

Kaylie Mcdonald

Beginner2022-07-02Added 19 answers

Step 1
Use the following formulae linking Cartesian to Polar coordinates.
r 2 = x 2 + y 2
θ = tan 1 ( y x )
[ ( 7 ,   1 ) is a point in the 2nd quadrant and care must be taken to ensure that θ , is in the 2nd quadrant.]
so r 2 = ( - 7 ) 2 + 1 2 = 49 + 1 = 50 r = 50 = 5 2
and θ = tan - 1 = ( 1 - 7 ) = - 0.14 radians
θ = ( π - 0.14 ) = 3 radians

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