The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ). xy = 1 Answer choices: A) r sin 2θ = 2 B) 2r sin θ cos θ = 1 C) r^2 sin 2θ = 2 D) 2r^2 sin θ cos θ = 1 Could you explain to me how to solve this?

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Answer 1 · 2018-08-03T20:05:06

C

#xy = 1#

#(r cos theta)(r sin theta) = 1#

#r^2 sin theta cos theta = 1#

#r^2 frac{sin 2theta}{2} = 1#