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pomidorka
pomidorka pomidorka
  • 04-10-2015
  • Mathematics
Answered

4⋅(tg(π−x)+ctg(π−x)+ctg(3π2−x))/ctg(π−x)

Verified Answer :

Julik
Julik Julik
  • 04-10-2015

\(tan( \pi -x)=-tan(x) \\ cot( \pi -x)= -cot(x) \\ cot( \frac{3 \pi }{2} -x)=tan(x) \\ \\ \\ \frac{tan( \pi -x)+cot( \pi -x)+cot( \frac{3 \pi }{2} -x)}{cot( \pi -x)} = \frac{-tan(x)-cot(x)+tan(x)}{-cot(x)} = \frac{-cot(x)}{-cot(x)} =1\)

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