X-y=2 /*3 4x+6y=0 //2
2x-3y=-1 7y-2x=20
3x-3y=6 2x+3y=0
2x-3y=-1 -2x+7y=20
x=7 10y=20
7-y=2 y=2
y=5 4x=-12
(7;5) x=-3
(-3;2)
Cos5°*cos55°*cos65°
* * cosα*cosβ =(1/2)(cos(α+β) +cos(α -β))_преобраз. произведен. в сумму * *
* * * cos(180° -α) = - cosα _формула приведения * * *
* * * cosα/2 = ± √(1+cosα)/2 _формула половинного угла * * *
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cos5°cos55°cos65° =(1/2)(cos60° +cos50°)cos65° =(1/2)(1/2+cos50°)cos65°
=(1/4)cos65° +(1/2)cos50°cos65° =(1/4)cos65° +(1/4)(cos115°+cos15°) =
(1/4)(cos65° +cos115°+cos15°) =(1/4)(cos65° +cos(180°- 65°) +cos15°) =
(1/4)(cos65° -cos 65° +cos15°) =(1/4)cos15° =(1/4)√((1+cos30°)/2) =
(1/4)√((1+√3/2)/2)=(1/4)√((2+√3)/4) =(1/8)√(2+√3) =
(1/8√2)√(4+2√3) =(2+√3)/8√2 =√2(2+√3)/16.
Подставляем: 4*2-11=8-11=-3
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C(c+1) c+1
———= ———
c(c-1) c-1