Уравнение касательной y = f(xo)+f '(xo)*(x - xo).
Производная функции равна y ' = 1 / (2√x)
Подставим значение хо = 1. y ' = 1 / (2*1) = 1/2.
у = 1 + (1/2)*(x - 1) = 0,5x + 0,5.
<span>Ордината точки касательной с абциссой х=31 равна:
у(31) = 0,5*31 + 0,5 = 15,5 + 0,5 = 16.</span>
1) sin 390 =sin(360+30)=sin30= 1/2
2) cos420=cos(360+60)=cos60=1/2
3) tg 540=tg(360+180)=tg180=0
4) ctg450=ctg(360+90)=ctg90=0
5) tg 7π/3 = tg(2π + π/3)=tg π/3 =√3
6) sin 11π/6 = sin(2π - π/6) = - sin π/6 = - 1/2
7) cos 9π/4 = cos(2π + π/4) = cos π/4 = √2/2
8) ctg 10π/3 = ctg (4π - 2π/3)= - ctg 2π/3 = -ctg(π - π/3) =ctg π/3 = √3/3
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b) do you doing
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