What is the polar form of ( 11 , - 9 ) ?

prirodnogbk

prirodnogbk

Answered

2022-07-10

What is the polar form of ( 11 , - 9 ) ?

Answer & Explanation

Gornil2

Gornil2

Expert

2022-07-11Added 20 answers

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The polar form of a coordinate pair ( x , y ) is ( r , θ )
To find r, we use the formula r 2 = x 2 + y 2
math xmlns="http://www.w3.org/1998/Math/MathML"> r 2 = 11 2 + ( - 9 ) 2
r 2 = 121 + 81
r 2 = 202
r = 202
r 14.21
To find θ , we use the formula y x = tan ( θ )
- 9 11 = tan ( θ )
θ = tan - 1 ( - 9 11 )
θ tan - 1 ( 0.818182 )
θ - 39.289407

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