Это решение правильное 100\%
А1
а)Sin11π/3 = Sin(4π - π/3) =- Sin π/3 = - √3/2
б)Cos(-4π/3) = Cos4π/3 = Сos(π + π/3) = -Cosπ/3 = -1/2
в)tg 13π/4 = tg(3π + π/4) = tgπ/4 = 1
г) Sin 29π/3 = Sin(10π - π/3) = Sinπ/3 = √3/2
д)Ctg (-2π/30 = -Ctg2π/3 = -Ctg(π - π/3) = Ctg π/3 = 1/√3
В1
-Cost·tg t + Sint + tgt = -Sin t + Sin t + tg t = tg t
№121
1) 3a -15b= 3( a -5b )
2)5x - 2 xy= x( 5 - 2y)
3)7mn + 7 mk= 7m ( n + k )
4) 6a2 -12ab = 6a ( a - 2b )
5) x8 - x3 = x3( x5 -1 )
6) 18 ab2+ 9ab = 9ab ( 2b + 1 )
7)22xy2+ 33x2y = 11xy ( 2y + 3x)
8) -4a4+ 20a10 = -4a4 ( 1 - 5a6 )
9) 3x2+ 15 x4 - 21 x6= 3x2 ( 1 + 5x2 -7x4 )
10) 4a2b3 -12ab2 + 20a2b = 4ab ( ab2 - 3b + 5a )
11) 15m3- 9m2n -12 m2 = 3m2 ( 5m -3n -4 )
12 )-16x2y3z - 44 x2y2z2 + 4 x2yz3 = -4x2yz ( 4y2 + 11 yz - z2 )
Формула тангенса суммы или тангенса двойного угла