General solution of $$tan2x+1$$−$$3tanx$$−$$3=0$$ is

Correct option is 4nπ+π3,nπ−π4

Questions

General solution of $\tan^{2} x + (1 - \sqrt{3}) \tan x - \sqrt{3} = 0$ is

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nπ+π6

nπ+π4

nπ+π2

nπ+π3,nπ−π4

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detailed solution

Correct option is D

We have tan2x+1−3tanx−3=0⇒tanx=3 or tanx=−1⇒x=nπ+π3or x=nπ−π4

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General solution of tan2x+1−3tanx−3=0 is

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General solution of $\tan^{2} x + (1 - \sqrt{3}) \tan x - \sqrt{3} = 0$ is