Consider the region bounded by the cardioid
and the two lines $y = x, y = −x$ to the right of the y -axis. Sketch this region. Determine the angles of the two points of intersection of the lines with the cardioid. Compute the area of the region.
Im supposed to plot all 3 in terms of polar coordinates, but I translate $y=x$ to $\sin(\theta)=\cos(\theta)$ and am confused to move further. How do I solve this type of problem?
So far, the double integral needed to be solved is