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The solution set of the equation $\tan (π \tan x) = \cot (π \cot x)$ is

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Correct option is C

tan⁡(πtan⁡x)=tan⁡(π/2−πcot⁡x)⇒ πtan⁡x=π/2−πcot⁡x⇒tan⁡x+cot⁡x=1/2⇒ 2tan2⁡x−tan⁡x+2=0⇒ tan⁡x=1+1−164which does not give real values of tan x.

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The solution set of the equation tan⁡(πtan⁡x)=cot⁡(πcot⁡x) is

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The solution set of the equation $\tan (π \tan x) = \cot (π \cot x)$ is