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cot2x-tan2x=(cot x -tan x)(cot x + tan x) =0

so either cot x - tan x = 0 or cot x + tan x =0

1) cot x = tan x => 1 / tan x = tan x => tan2x = 1 => tan x = 1 ou tan x = -1

x = pi/4 or x = -pi /4

2) cot x + tan x =0 => 1 / tan x = -tan x => tan2x = -1

if you know about complex number then infinity is the solution to this equation, if not there's no solution in real numbers.

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Q: What is the answer to cot squared x - tan squared x equals 0?

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