Consider the region R inside the graph of r = 2cos θ and outside the graph of r = 2 − 2cos θ.

Find the values α and β of θ in [−π, π] corresponding to the points at which the graphs intersect, with α

Question

Consider the region R inside the graph of r = 2cos θ and outside the graph of r = 2 − 2cos θ. 

Find the values α and β of θ in [−π, π] corresponding to the points at which the graphs intersect, with α < β and then find the area A of the region R.

anonymous · Answer

To find the points of intersection, set the functions equal to each other and solve for theta.

anonymous · Answer

2-2costeta=2costeta
teta=+-pi/3

anonymous · Answer

I have nothing that to sketch the area.

anonymous · Answer

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