The rectangular coordinates of a point are given (2, -2). Find polar coordinates of the point. Express theta in radians.

Ernstfalld

Ernstfalld

Answered question

2020-12-22

The rectangular coordinates of a point are given (2, -2). Find polar coordinates of the point. Express theta in radians.

Answer & Explanation

yunitsiL

yunitsiL

Skilled2020-12-23Added 108 answers

Let the given rectangular coordinates be (x, y). Then, (x,y)=(2,2) Let polar coordinates be =(r,θ) Then using formulas - r=x2+y2
θ=tan1(yx) Using equation (1) - r=x2+y2
r=(2)2+(2)2
r=4+4
r=8
r=22 Now θ=tan1(yx)
θ=tan1(22)
θ=tan1(1)
θ=tan1(1)[tan1(x)=tan1(x)]
θ=tan1(tanπ/4)
θ=π/4 Hence, Polar coordinates = (r,θ)=(22,π4)

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?