Convert the equation from rectangular to polar form and draw its graph? #xy=4#

Question

2904 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-12T17:54:54

#r = 2/sqrt(cos(theta)sin(theta))#

Here is a graph of the converted equation: Desmos.com

Here is the graph of #xy=4# (before the conversion)

Desmos.com

To convert to polar form, substitute #x = rcos(theta)# and #y = rsin(theta)#:

#rcos(theta)rsin(theta)=4#

Use algebra to write r as a function of #theta#:

#r^2= 4/(cos(theta)sin(theta))#

#r = 2/sqrt(cos(theta)sin(theta))#