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Consider the cardioid r = 1 - sino and the circle r = 2 sin 0 as shown in the graph. -2 1. When e changes from 0 to 2x, how many times the cardioid and the circle meet with each other? Find all the values of # e [0, 2x] when they meet. Note that the range of cos=1 is [0, w] and the range of sin is [-w/2, 7/2]. 2. Find the tangent lines of the cardioid r = 1 - sind at the values of A found above. Write the equations of the tangent lines in forms of xy-coordinate and the equations should not include sin- and cos-1. You must show all steps to get the full credits