Question

Someone pls help me.....cartesian equation for the curve r^2sin2(theta)=1 and identify what is the graph?

Answer 1

Answer:the cartesian equation is xy=1/2 and the graph is hyperbola

Step-by-step explanation:

We know that

x=rcos(theta) andy=rsin(theta).......(1)

So,r^2sin2(theta)=1

or,r^2{2sin(theta)cos(theta)}=1

or,rsin(theta)×rcos(theta)=1/2

From (1)

xy=1/2