What is the polar form of (-13, 14)?

Feinsn

Feinsn

Answered question

2022-06-27

What is the polar form of (-13, 14)?

Answer & Explanation

Ryan Newman

Ryan Newman

Beginner2022-06-28Added 26 answers

Step 1
( x , y ) = ( - 13 , 14 ) is a point in Quadrant II
So θ must be [ 0 , π ]
The radius (distance from the origin) for the point (x, y) is x 2 + y 2
In this case XXX r = ( - 13 ) 2 + 14 2 19.10497 ... (using a calculator)
Step 2
The tangent for this angle ( θ ) is y x
In this case XXX tan ( θ ) = 14 - 13
which implies
XXX θ = arctan ( - 14 13 ) 2.3191744 ... (again using a calculator
Note: you might need to adjust for the quadrant if your arctan function gives a value in the range [ - π 2 , + π 2 ]

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