look at the ratio a/b as the alpha increases.
a/b = 0 when alpha is zero
a/b = 1 when alpha is 90
a/b = infinity when alpha is 180
ie when b does not exist ratio does not exist.
thus infinity tells that some assumption/rule in the calculation is no longer valid. here, the structure is nolonger a triangle.
also note the transition from zero to one and then a jump to infinity!
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