**18+ Sketch The Curve. R = 1 − Sin(Θ)
Gif**. Instead of plotting points, we first sketch the graph of r = 1 + sin theta in cartesian coordinates in the top figure by shifting the sine curve up one unit. (1) first sketch r = 1 + sin θ in cartesian coordinates.

In the book it states that first to find symmetry we have to check the following: Find the area that lies inside the curve r = 3 cos θ and outside the curve r = 1 + cos θ. Let's first graph some values to see what is happening with the polar coordinates starting at θ = 0, the curve begins to be traced on the negative portion of the polar axis.

### Question 3 show that the latter curve, r = 2 cos θ has the cartesian representation (x − 1)2 + y2 = 1 − b sin θ, y(θ) = a − b cos θ, 360.

Let's first graph some values to see what is happening with the polar coordinates starting at θ = 0, the curve begins to be traced on the negative portion of the polar axis. Take, for example, a circle. One final technique for sketching and analyzing the graph of a polar equation is finding the intercepts of the let's examine a polar equation and sketch and analyze it. The sharpness of simple curve is also determined by radius r.