What is the polar form of <mstyle displaystyle="true"> ( - 10

glycleWogry

glycleWogry

Answered question

2022-06-09

What is the polar form of ( - 10 , 22 ) ?

Answer & Explanation

Blaine Foster

Blaine Foster

Beginner2022-06-10Added 33 answers

Step 1
The polar form of the rectangular coordinate ( x , y ) can be found using these formulas:
r = x 2 + y 2
θ = tan - 1 ( y x )
So let's plug in the given x and y values.
r = ( - 10 ) 2 + 22 2 = 100 + 484 = 584 = 2 146
θ = tan - 1 ( 22 - 10 ) = - 1.144
Now, since this point is in quadrant 2, and the angle produced by tan - 1 ( y x ) is in quadrant 4, we need to add r a d to θ to get the correct angle.
So our polar coordinates are:
( 2 146 , 1.998 )

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?