Suppose a rope of mass m hangs between two trees. The ends of the rope are at the same height and they make an angle θ with the trees.
(a) What is the tension at the ends of the rope where it is connected to the trees? Express your answer in terms of m, g, and θ (enter theta for θ).
(b) What is the tension in the rope at a point midway between the trees? Express your answer in terms of m, g, and θ (enter theta for θ).