1002.
а) х²+2ху+у²-m²=(x+y)²-m²=(x+y-m)(x+y+m)
б) p²-a²-2ab-b²=p²-(a²+2ab+b²)=p²-(a+b)²=(p-a-b)(p+a+b)
в) b²-c²-8b+16=(b²-8b+16)-c²=(b-4)²-c²=(b-4-c)(b-4+c)
г) 9-c²+a²-6a=(a²-6a+9)-c²=(a-3)²-c²=(a-3-c)(a-3+c)
T=2π/k
k=π/2
T=2π:π/2=2π*2/π=4
А)
-3х=3
х=-1
-3х=0
х=0
-3х=-1
х=1/3
б)
5х-6=-6
5х=-6+6
5х=0
х=0
5х-6=0
5х=6
х=1,2
5х-6=-1
5х=-1+6
5х=5
х=1
Log[2]cos(pi/12) + log[2]sin(pi/24) + log[2]sin(11pi/24)=
log[2]cos(pi/12) + log[2](sin(pi/24) * cos(pi/24)) =
log[2]cos(pi/12) + log[2](sin(pi/12) / 2 ) =
log[2](cos(pi/12) * sin(pi/12) / 2 ) =
log[2](sin(pi/6) / 4 ) =
log[2](1 / 8 ) = -3