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joshua2112
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Homework Statement
Consider the cone defined by z = √ x 2 + y 2 . By defining new coordinates ρ, φ where x = ρ cos φ, y = ρ sin φ, show that the line element on the cone is ds^2 = 2dρ^2 + ρ^2dφ^2 . Why does this result prove the cone has flat geometry?
Homework Equations
x=rcosφ
y=rsinφ
The Attempt at a Solution
ive tried several times but end up with cos and sin in my answer
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