Find the general solution of each of the following equations:
2 tan x – cot x + 1 = 0
To Find: General solution.
Given: 2 tan x – cot x + 1 = 0 
2tan2x – 1 + tan x = 0 
2tan2x – 1 + 2tan x – tanx = 0 
2tanx(tanx +1) – (1+ tanx) = 0
(2tanx-1) (1+ tanx) = 0 
tan x = 
= 
or tan x = -1 = tan
Formula used: tan
= tan
= n
, n
I
x = n
or x = n
So the general solution is x = n
or x = n
where n 
I
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
