A polar curve is given as r = cos 2 + cos . a. Show that x

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A polar curve is given as r = cos 2θ + cos θ.

a. Show that x = cos θ + cos2 θ - 2cos3 θ.

b. Differentiate the result in part a and show that for stationary points sinθ(6 cos2 + cos θ - 1) = 0.

c. Deduce the minimum value of x. 

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