How do you change (2\sqrt{3},\ 2,\ -1) from rectangular to

Jackson David

Jackson David

Answered question

2022-02-02

How do you change (23, 2, 1) from rectangular to cylindrical coordinates?

Answer & Explanation

dimljenihhml

dimljenihhml

Beginner2022-02-03Added 15 answers

Step 1
First, you have to calculate the radius
r=x2+y2=12+4=4
Second, you know that
x=rcos(θ)
and
y=rsin(θ),
therefore,
cos(θ)=32 and
y=12
So,
θ=π6 (modulo 2π)
Conclusion, the cylindrical coordinates are (4, π6, 1)

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