Step 1 :

The curves are $\"\"$ and $\"\"$ .

First find out the points, where the two curves intersect.

$\"\"$

General solution of $\"\"$ is $\"\"$ , where n is an integer.

$\"\"$

If n = 0, then $\"\"$ .

Graph two curves in polar - coordinate plane.

\ Graph : \

$\"\"$

We can observe from the graph that the two curves intersect at 8 points.

There are 8 intersects on the interval $\"\"$ .

By symmetry area of the region that lies inside the both curves :

$\"\"$

Area of the region that lies inside the both curves is $\"\"$ square units.