Question #a72c7

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Question #a72c7

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Answer 1 · 2016-09-11T08:20:41

#r^2cos(2theta) = 9#

Explanation:

As there is no #z# component, converting into cylindrical coordinates in this case is equivalent to converting to polar coordinates, which we can do using the identities

#{(x = rcos(theta)), (y = rsin(theta)):}#

Substituting these in:

#x^2 - y^2 = 9#

#=> (rcos(theta))^2-(rsin(theta))^2=9#

#=> r^2(cos^2(theta)-sin^2(theta))=9#

#:. r^2cos(2theta) = 9#

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