1. cosα=3/5. 0<α<π/2
sin²α+cos²α=1
sin²α+(3/5)²=1. sinα=+-√(1-9/25). по условию 0<α<π/2, ⇒sinα>0. sinα=4/5
tgα=sinα/cosα. tgα=(4/5):(3/5). tgα=4/3
ctgα=1/tgα. ctgα=3/4
2. sinα=1/2, π/2<α<α
cos²α=1-sin²α. cos²α=1-(1/2)². cos²α=3/4. cosα=+-√(3/4). π/2<α<π, ⇒ cosα<0. cosα=-√3/2
tgα=sinα/cosα. tgα=(1/2):(-√3/2). tgα=-√3
cgtα=-1/√3
3. cosα=-0,6. π<α<3π/2
sin²α=1-cos²α. sin²α=1-(-0,6)². sinα=+-√0,64. π<α<3π/2,⇒ sinα<0. sinα=-0,8
tgα=-0,8:(=0,6). tgα=4/3
ctgα=3/4
1. a)15a²bc b)630axy
2.2a-5b
3.2x=20
x=10
4.-3m-3=-3*17-3=48
5.12x+9y
6.ab+c-ab-b-ab+b=c-ab
7.-2c-2
8.a)12ac b)160m
9.4-7b-3a
10.-23
11.1
12.0
1,4 х 2,4 + 0,24=3,36+0,24=3,6
Sin2a = 2sinacosa
sina = - √(1 - 0,36) = - √0.64 = - 0.8
sin2a = 2*0.6*(-0.8) = - 0.96
С²/2(c+9)-81/2(c+9)
с²-81/ 2(c+9)
(c-9)(c+9) / 2(c+9)
c-9 /2