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trapeznikova98
@trapeznikova98
July 2022
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Найдите значение выражения 5cos^2(a)-4ctg(a)+5sin^2(a), если tg(a)=2
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Minsk00
Найдите значение выражения 5cos²(a)-4ctg(a)+5sin²(a), если tg(a)=2
Решение:
5cos²(a) - 4ctg(a) + 5sin²(a) = 5cos²(a) + 5sin²(a)
- 4ctg(a) =
=
5(cos²(a) + sin²(a)) - 4ctg(a) = 5 -
4ctg(a) = 5 - 4/tg(a) = 5 - 4/2 = 5 - 2 = 3
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Answers & Comments
Решение:
5cos²(a) - 4ctg(a) + 5sin²(a) = 5cos²(a) + 5sin²(a) - 4ctg(a) =
= 5(cos²(a) + sin²(a)) - 4ctg(a) = 5 - 4ctg(a) = 5 - 4/tg(a) = 5 - 4/2 = 5 - 2 = 3