Suppose tan(b) = -2, and the terminal side of b is located in quadrant II, then cot(b) = -1/2
Note that:
tan(b) = Opposite/Adjacent
Comparing the above relationship with tan(b) = -2/1:
Opposite = -2
Adjacent = 1
Also note that:
cot(b) = 1/tan(b)
cot(b) = Adjacent/Opposite
Substitute opposite = -2 and adjacent = 1 into the expression for cot(b)
cot(b) = -1/2
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