1) cos5α-cosα = -2sin2α*sin3α ;
2) cosα - cos3α +2sin2α = 2sinα *sin2α +2sin2α =2sin2α*(sinα+1) =
2sin2α(1 +cos(π/2 -α)) =4sin2α*cos² (π/4 - α/2).
-------------------------------------
cosα - cos3α +2sin2α = 2sinα *sin2α +2sin2α =2sin2α*(sinα+1) =
2sin2α(sinα+sinπ/2) =4sin2α*sin(π/4 +α/2)*cos(π/4 -α/2) =
[[ но *** sin(π/4 +α/2) =cos(π/2 -(π/4 +α/2)) =cos(π/4 - α/2) *** ]] =
4sin2α*cos² (π/4 - α/2).
2y²-xy=3
x=(2y²-3)/y
y²+4y(2y²-3)/y-3(2y²-3)²/y²=6
y^4+8y^4-12y²-12y^4+36y²-27-6y²=0
-3y^4+18y²-27=0
y^4-6y²+9=0
(y²-3)²=0
y²-3=0
y²=3
y1=-√3⇒x1=(6-3)/(-√3)=-3/√3=-√3
y2=√3⇒x1=(6-3)/(√3)=3/√3=√3
(-√3;-√3);(√3;√3)
X0=-b:2a
-4=-p:2
p=8
x^2+8x+q=-9
16-8*4+q=-9
q=7
S15 = ((2*(-20)+12*14)/2)*15
S15 = -40+168 = 128/2=64*15=960
Ответ: 960