How do you find the rectangular coordinates of the point

Israel Holden

Israel Holden

Answered question

2022-02-04

How do you find the rectangular coordinates of the point whose spherical coordinates are (4, 3π4, π3)?

Answer & Explanation

Alaina Contreras

Alaina Contreras

Beginner2022-02-05Added 19 answers

The equations are:
x=rsinθcosϕ 
y=rsinθsinϕ 
z=rcosθ 
So: 
x=4sin(34π)cos(π3)=4×22×12=2 
y=4sin(34π)sin(π3)=4×22×32=6 
z=4cos(34π)=4×(22)=22

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