What is the polar form of <mstyle displaystyle="true"> ( 1 , 1

Lydia Carey

Lydia Carey

Answered question

2022-06-22

What is the polar form of ( 1 , 18 ) ?

Answer & Explanation

Anika Stevenson

Anika Stevenson

Beginner2022-06-23Added 19 answers

Step 1
Given Cartesian coordinates ( x , y ) in Quadrant I
r = x 2 + y 2
and
θ = arctan ( y x )
abbracciopj

abbracciopj

Beginner2022-06-24Added 4 answers

Step 1
Polar format: ( r ,   θ )
r = x 2 + y 2
θ = tan - 1 ( y x )
apply both formulas when going from Cartesian polar
1 2 + 18 2 = 325 18.0
θ = tan - 1 ( 18 1 ) = tan - 1 ( 18 ) 1.5 r a d i a n s
Thus our answer of:
Polar format of (1,18) Cartesian is: (18, 1.5)

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