Tg A = 0,5
tg A = BC / AC
0,5 = BC / 8
BC = 0,5 * 8 = 4
Ответ: 4
X²+px+q=0
х₁+х₂=-р
х₁*х₂=q
x₁=2
x₂=5
-p=-2+5=7 ⇒ p=-7
q=2*5=10
x²-7x+10=0
sin(7п+x)=cos(9п+2 х)
sin(3*2pi+pi+x)=cos(4*2pi+pi+2x)
sin(pi+x)=cos(pi+2x)
-sinx==-cos2x
-sinx+cos2x=0
cos^2x-sin^2x-sinx=0
1-sin^2x-sin^2x-sinx=0
-2sin^2x-sinx+1=0 |*(-1)
2sin^2x+sinx-1=0
D=1+8=9
sinx1=-1+3/4=1/2
sinx2=-1-4/4=-1
при
sinx=1/2
x=arcsin1/2+Pin, n~Z
x=pi/6+pin, n~Z
при
sinx=-1
x=-pi/2+pin, n~Z
Ответ: x=pi/6+pin, n~Z
x=-pi/2+pin, n~Z
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