What is the polar form of <mstyle displaystyle="true"> ( - 4 ,

Amirah Hayden

Amirah Hayden

Answered question

2022-06-02

What is the polar form of ( - 4 , - 2 ) ?

Answer & Explanation

palagivrfjy

palagivrfjy

Beginner2022-06-03Added 3 answers

Step 1
Cartesian coordinates ( x = - 4 , y = - 2 ) (3rd quadrant)
Polar distance is r = x 2 + y 2 = 20
Angle tan α = y x = 2 4 = 1 2 ; α = tan - 1 ( 1 2 ) or
α = tan - 1 ( 1 2 ) = 26.57 0 . The point lies on
3rd quadrant. θ = 180 + α = 180 + 26.57 = 206.67 0
Polar coordinate is ( r , θ ) or ( 20 , 200.67 0 )

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