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How do you convert #xy=16# to polar form?

1 Answer

Shwetank Mauria

Apr 11, 2016

#r^2sin2theta=32#

Explanation:

Relation between polar coordinates #(r,theta)# and rectangular coordinates #(x,y)# is given by #x=rcostheta# and #y=rsintheta#.

Hence #xy=16# is equivalent to

#r^2sinthetacostheta=16# or

#r^2xx2sinthetacostheta=32# or

#r^2sin2theta=32#

graph{xy-16=0 [-10, 10, -10, 10]}

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