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Karla31
@Karla31
July 2022
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tg9°×tg63°×tg81°×tg27°
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Universalka
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Tg9° * tg63° * tg81° * tg27° =( tg9° * tg 81°) * (tg63° * tg27°) =
=[ tg9° * tg(90° - 9°)] *[ tg(90° - 27°) * tg27°] = (tg9° * Ctg9°) * (Ctg27° * tg27°) =
= 1 * 1 = 1
При решении использована формула tgα * Ctgα = 1 и формулы приведения.
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Answers & Comments
Verified answer
Tg9° * tg63° * tg81° * tg27° =( tg9° * tg 81°) * (tg63° * tg27°) ==[ tg9° * tg(90° - 9°)] *[ tg(90° - 27°) * tg27°] = (tg9° * Ctg9°) * (Ctg27° * tg27°) =
= 1 * 1 = 1
При решении использована формула tgα * Ctgα = 1 и формулы приведения.