Rectangular equation is xy=5. Transform it into polar equation.

djeljenike

djeljenike

Answered question

2021-09-11

Rectangular equation is xy=5. Transform it into polar equation.

Answer & Explanation

gotovub

gotovub

Skilled2021-09-12Added 98 answers

Substitute the following to x and y for converting to polar form:
x=rcosθ
y=rsinθ
xy=5
(rcosθ)(rsinθ)=5
r2×cosθ×sinθ=5
Use sin2θ=2×sinθ×cosθ
r2(sin2θ2)=5
r2=10sin2θ
r2=10csc2θ

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