Ответы на вопрос:
3sin^2 (x) - 4sinx × cosx + 5cos^2 (x) = 2
3sin^2 (x) - 4sinx × cosx + 5cos^2 (x) - 2 = 0
-2 = -2sin^2 (x) - 2cos^2 (x)
sin^2 (x) - 4sinx × cosx + 3cos^2 (x) = 0
tg^2 (x) - 4tgx + 3 = 0
tgx = 1 tgx = 3
x = π/4 + πn x = arctg(3) + πk
ответ : π/4 + πn, n€ z; arctg(3) + πk, k€ z
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