Comparing angle measures expressed in different units (degree, radian, grad) requires converting all to a common unit; since cosine is a strictly decreasing function over the relevant range, the ordering of cosine values is the reverse of the ordering of the angle magnitudes.
Converting to radians: d = 1 degree = pi/180 ~ 0.01745 rad; r = 1 radian = 1 rad; g = 1 grad = pi/200...
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