use the identities:
I think she means θ when using 0
I'll use x to avoid copy/paste of special characters.
recall the definition of co-functions: function of complementary angle. So,
cos(x) = sin(pi/2 - x)
cot(x) = tan(pi/2 -x)
so, cot(x-pi/2) = -cot(pi/2 - x) = -tan(x)
or, use cot addition formula:
cot(x-pi/2) = (1+cotx cot pi/2)/(cot pi/2 - cot x) = (1+0)/(0-cotx) = 1/-cotx = -tanx
Thanks Steve, good thought!
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