Question

r=1/sin(theta)+cos(theta)
convert the polar equations to rectangular coordinates

Answer 1

\[r= \frac{ 1 }{ \sin \theta+ \cos \theta }\]

Answer 2

change the equation to: \(\huge r(sin\theta+cos\theta)=1 \)

now distribute: \(\huge rsin\theta+rcos\theta=1 \)

rsin(theta) = ???
rcos(theta) = ???