When the function f(x) = cos x is reflected across the x-axis, the resulting function is g(x) = -cos x. If the coordinates of the y-intercepts of f(x) = cos x are (0,1), what are the coordinates of the y-intercepts of the reflected function g(x)?

The function f(x) = cos x has a y-intercept at (0, 1). When this function is reflected across the x-axis, the y-coordinate of each point is multiplied by -1. Therefore, the y-intercept of the reflected function g(x) = -cos x is (0, -1).