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nadegakorf
@nadegakorf
August 2022
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Известно, что tg a+ ctg a=3. Найти tg^2 a+ Ctg^2a. Только сами
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LFP
Verified answer
tg(a) + ctg(a) = 3
(tg(a) + ctg(a))² = 9
tg²(a) + 2*tg(a)*ctg(a) + ctg²(a) = 9
tg²(a) + ctg²(a) = 9 - 2*tg(a)*ctg(a)
tg²(a) + ctg²(a) = 9 - 2 = 7
--------------------------------- известно: tg(a)*ctg(a) = 1
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Answers & Comments
Verified answer
tg(a) + ctg(a) = 3(tg(a) + ctg(a))² = 9
tg²(a) + 2*tg(a)*ctg(a) + ctg²(a) = 9
tg²(a) + ctg²(a) = 9 - 2*tg(a)*ctg(a)
tg²(a) + ctg²(a) = 9 - 2 = 7
--------------------------------- известно: tg(a)*ctg(a) = 1