Describe in words the surface whose equation is given.\phi =\pi /3

Chesley 2021-09-19 Answered
Describe in words the surface whose equation is given.ϕ=π3
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Expert Answer

Viktor Wiley
Answered 2021-09-20 Author has 84 answers
ϕ=π3 Spherical coordinates
cosϕ=cos(π3)=12 (1)x=ρsinϕcos0
cos2ϕ=14 (2)y=ρsinϕsin0
ρ2cos2ϕ=14ρ2 (3)z=ρcosϕ
z2=14(x2+y2+z2) (4)x2+y2+z2=ρ2
4z2=x2+y2+z2
3z2=x2+y2
3z2=x2+y2 is a double cone, however, since the original equation ϕ=π3>0, its
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