2^n(2²+2^(-2))2^n=4+1/4=4 1/4
5^2n(1-1/5)/<span>5^2n=1-1/5=0.8</span>
Решение:
sin(x+pi/4+x-pi/4)/cos(x-pi/4)cos(x+pi/4)=sinx/cosx
4sinxcosx/cos2x=sinx/cosx
sinx=0
x=Пk
4cosx=cos2x
4cosx=2cos^2x-1
(2+-sqrt(6))/2
1+sqrt(6)/2>1
(1-sqrt(6)/2>-1
нет решения
Ответ: x=Пk.
24-10x≥0⇒x≤2,4
24-10x>9-24x+16x²
16x²-14x-15<0
D=196+960=1156
√D=34
x1=(14-34)/32=0,625 U x2=(14+34)/32=1,5
0,625<x<1.5
x∈(0,625;1,5)
=(sin^2 15^0+cos^2 15^0)^2-1/2*(4sin^21560*cos^2 15^0)=1-(1/2)sin^2 30^0=1-(1/2)*(1/4)=1-1/8=7/8
X-2y=1
x=1+2y
4y-1-2y=4
2y=5
y=2.5
x=1+2x2.5=6