A triangle is formed by taking a point on the unit circle (cos, sin 0) and forming the lines connecting each pair of points among (0,0), (cos 0,0), and (cos, sin 0) as in the graph below. When the base of the triangle x = 4, the height of the triangle y = 1, and is increasing at a rate of 0.1 radians a second, what is the change in the area of the triangle per second? (Hint: the area of the triangle is given by A = xy. A chain rule may be useful here.) y X y (cos, sin 0) X