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

Monfredo0n

Monfredo0n

Answered question

2022-05-22

What is the polar form of ( - 1 , 121 ) ?

Answer & Explanation

Cordell Crosby

Cordell Crosby

Beginner2022-05-23Added 11 answers

Step 1
Radius is given by the Pythagorean Theorem as
XXX r = x 2 + y 2
For the given values ( x , y ) = ( - 1 , 121 )
XXX r = ( - 1 ) 1 + 121 2 = 14642
The given point is in Quadrant II, so it is convenient to use the cos/arccos" functions.
XXX cos ( θ ) = x r
XXX θ = arccos ( x r )
XXXXXX = arccos ( - 1 14642 )
Note: If this had any practical applications we would probably convert the above values into (approximate) values (using a calculator) as
XXX ( r , θ ) ( 121 , 1.58 (radians) )

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