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JuliSkvortsova
@JuliSkvortsova
October 2021
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Решите систему уравнений
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kalbim
Verified answer
2sinx - 5cosy = 7
5sinx + cosy = 4 - домножим обе части на 5
Решаем систему методом сложения:
2sinx - 5cosy = 7
25sinx + 5cosy = 20
27sinx = 27, sinx = 1, x = π/2 + 2πk, k∈Z
cosy = 4 - 5sinx = 4 - 5 = -1, y = π + 2πk, k∈Z
Ответ: x = π/2 + 2πk, y = π + 2πk, k∈Z
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Answers & Comments
Verified answer
2sinx - 5cosy = 75sinx + cosy = 4 - домножим обе части на 5
Решаем систему методом сложения:
2sinx - 5cosy = 7
25sinx + 5cosy = 20
27sinx = 27, sinx = 1, x = π/2 + 2πk, k∈Z
cosy = 4 - 5sinx = 4 - 5 = -1, y = π + 2πk, k∈Z
Ответ: x = π/2 + 2πk, y = π + 2πk, k∈Z