1.

\tan ^ - 1 ( \tan \frac 7 \pi 6 ) %2B \cot ^ - 1 ( \cot \frac 7 \pi 6 )

Answer»

tan^-1(tan 7pi/6) + cot^-1(cot 7pi/6)

= tan^-1(tan(pi + pi/6)) + cot^-1(cot(pi + pi/6))

= tan^-1(tan pi/6) + cot^-1(cot(pi/6))

= pi/6 + pi/6

= 2pi/6

= pi/3



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