Question 1031795: how to prove cot x = 1/tan x by using trigonometric ratio?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let a = opposite side of angle x.
let b = adjacent side of angle x.
tanx = opposite side / adjacent side = a/b
cotx = adjacent side / opposite side = b/a
if you take 1 and divide it by tanx, you get 1 / tanx = 1 / (a/b)
since 1 / (a/b) is equal to 1 * (b/a), you get 1 / tanx = b/a
since b/a is equal to cotx, you get 1/tanx = cotx.
that's your proof.
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