ctg1' *ctg3'*ctg 5'.....*ctg89' найти значение выражения

ctg1' *ctg3'*ctg 5'.....*ctg89' найти значение выражения
- Предмет:
  Алгебра
- Автор:
  blazewl1w
- 5 лет назад

Ответы 1

Выражение равно единице.ctg89° = tg1°ctg87° = tg3°ctg85° = tg5°...ctg47° = tg43°ctg45° = 1.Тогда ctg1° * ctg3° * ctg5° * ... * ctg43° * ctg45° * ctg47° * ... * ctg87° * ctg89° = ctg1° * ctg3° * ... * ctg43° * ctg45° * tg43° * ... * tg3° * tg1° = (tg1° * ctg1°) * (tg3° * ctg3°) * ... * (tg43° * ctg43°) * ctg45° = 1 * 1 * ... * 1 = 1.
- Автор:
  guyhqnc
- 1 год назад
- 0
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ctg1' ctg3'ctg 5'.....*ctg89' найти значение выражения

Ответы 1

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