Question: One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a rate of 2 cm/s.

One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a rate of 2 cm/s. If the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 20 cm long, the second side is 30 cm, and the angle is π/6?

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