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

Augustus Acevedo 2022-07-01 Answered
What is the polar form of ( - 7 , 1 ) ?
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Answers (1)

Kaylie Mcdonald
Answered 2022-07-02 Author has 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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