Ответы на вопрос:
Cos(- 11π/3) = cos(π + π/3) = - cos π/3 = - 1/2 sin(-11π/3) = - sin(π + π/3) = sin π/3 = √3/2
AM - биссектриса ⇒ ∠BAC = 2∠BAM
BM - биссектриса ⇒ ∠ABC = 2∠ABM
ΔABM: ∠AMB = 109° ⇒
∠BAM + ∠ABM = 180° - ∠AMB = 180° - 109° = 71° ⇒
2(∠BAM + ∠ABM) = 2*71°
2∠BAM + 2∠ABM = 142°
∠BAC + ∠ABC = 142°
ΔABC: ∠C = 180° - (∠BAC + ∠ABC) = 180° - 142 = 38
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