if tan x = 1 what is cot x

Answer 1

cotx = 1/tanx = 1/1 = 1

x= 45 degrees or pi/4 radians in quadrant I

x = 225 or 5pi/4 in quadrant III

x = 45 + 180n or pi/4 + npi/2 where n= any integer

tanx = opposite side over adjacent side of the reference angle

cotx = adjacent side over opposite side

opposite side = adjacent side of a right triangle when the angle = 45 degrees or pi/4

Answer 2

The cotangent is the RECIPROCAL of the tangent of the same angle. The reciprocal of 1 is 1.

So, guess what?!