The solution of x, which satisfy the equation $$tan3x$$−$$tan2x1+tan3x$$.$$tanx=1$$ is

Correct option is 4no value of x

Questions

The solution of x, which satisfy the equation $\frac{\tan 3 x - \tan 2 x}{1 + \tan 3 x . \tan x} = 1$ is

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x=nπ+π4,n∈z

x=2nπ+π4,n∈z

x=nπ+π6,n∈z

no value of x

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detailed solution

Correct option is D

tan3x−tan2x1+tan3xtan2x=1⇒tan(3x−2x)=1⇒tanx=tanπ4⇒x=nπ+π4,n∈IIf n is an integer then 2x=2nπ+π2 and tan2x becomes infinite which does not satisfy the given equation∴there is no solution

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The solution of x, which satisfy the equation tan3x−tan2x1+tan3x.tanx=1 is

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Ready to Test Your Skills?

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The solution of x, which satisfy the equation $\frac{\tan 3 x - \tan 2 x}{1 + \tan 3 x . \tan x} = 1$ is