Ответы на вопрос:
1) 7*sin2y = 2siny 7*(2siny*cosy) - 2siny = 0 7*siny*cosy - siny = 0 siny*(7cosy - 1 ) = 0 siny = 0 ==> y = pik, k ∈z cosy = 1/7 ==> y = ± arсcos(1/7) + 2pik, k ∈z 2) (3cosx + 8sinx)^2 = 12 + 55sin^2x 9cos^2x + 48sinxcosx + 64sin^2x - 12(sin^2x + cos^2x) - 55sin^2x = 0 9cos^2x + 48sinxcosx + 64sin^2x - 12sin^2x - 12cos^2x - 55sin^2x = 0 - 3 sin^2x + 48sinxcosx - 3 cos^2x = 0 (sin^2x + cos^2x) - 16sinxcosx = 0 1 – 8sin2x= 0 sin2x = 1/8 2x = arcsin(1/8) + 2pik x = 1/2 * arcsin(1/8) + pik , k ∈z x = pi/2 - 1/2* arcsin(1/8) + pik , k ∈z
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