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Find the general solution of the following equation: 2 tan x – cot x + 1 = 0

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Find the general solution of the following equation: 

2 tan x – cot x + 1 = 0

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1 Answer

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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

Formula used: tan  θ = tan α

⇒ θ = nπ + α , n ∈ l

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