Решение
1) 2sin(- α) * cos(π/2 - α) - 2cos( - α)*sin(π/2 - α) =
= - 2sinα * sinα - 2cosα * cosα = 2*(sin²α + cos²α) = - 2
2) 3*sin(π - α) * cos(π/2 - α) + 3*sin²(π/2 - α) =
= 3*sinα * sinα + 3*cos²α = 3*(sin²α + cos²α) = 3
3) (1 - tg(- α))*(1 - tg(π + α))*cosα =
= (1 + tgα)*(1 - tgα)*cos²α = (1 - tg²α)*cos²α =
= (1 - sin²α / cos²α)*cos²α = [(cos²α - sin²α) / cos²α] * cos²α =
= cos2α
4) (1 + tg²(- α)) * {1 / 1 + ctg²(- α)]} = (1 + tg²α) / (1 + ctg²α) =
= [( cos²α + sin²α)*sin²α] / [(sin²α + cos²α)*cos²α] =
= sin²α / cos²α = tg²α
или
(1 + tg²α)/(1 + 1/tg²α) = [(1 + tg²α)*tg²α] / (1 + tg²α) = tg²α
AB{1-3;3+2;2-1}={-2;5;1}
BC{2-1;4-3;1-2}={1;1;-1}
4BC={4;4;-4}
c={-2+4;5+4;1-4}={2;9;-3}
3.01*10^5 км²
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0.2 × (5x+3) = 0.2×5x +0.2×3 = x +0.6
-0.5 ×(4.2x - 0.7) = -0.5×4.2x - 0.5 × (-0.7)=- 2.1x + 0.35
если × в условии - читается как переменная Х :
0.2x (5x+3) = 0.2x × 5x + 0.2x × 3 = x²+0.6x
-0.5x(4.2x-0.7) = -0.5x × 4.2x - 0.5x × (-0.7) = - 2.1x² + 0.35x