1.9. Решите графическим систему уравнений: (3х + y = 5, -3х + y = 4, 1) 2) у = х2 ; у = х3 ; — 5х = - id2023984220210927 от дархан23 27.09.2021 03:34

Question

Алгебра: 1.9. Решите графическим систему уравнений: (3х + y = 5, -3х + y = 4, 1) 2) у = х2 ; у = х3 ; — 5х = -2, 3) 4) 3х – 2y = 6, у = = х2. ( у = хз. ;

дархан23 · Accepted Answer

1
2(√3/2cosx-1/2sinx)=√2
cos(x+π/6)=√2/2
x+π/6=-π/4+2πn U x+π/6=π/4+2πn
x=-5π/12+2πn U x=π/12+2πn,n∈z
2
2(1/2cosx-√3/2sinx)=2cos5x
cos(x+π/3)=cos5x
5x=x+π/3+2πn U 5x=-π/3-x+2πn
4x=π/3+2πn U 6x=-π/3+2πn
x=π/12+πn/2 U x=-π/18+πn/3,n∈z
3
sin3xcos2x=sin(3x+2x)
sin3xcos2x=sin3xcos2x+sin2xcos3x
sin2xcos3x=0
sin2x=0⇒2x=πn⇒x=πn/2,n∈z
cos3x=0⇒3x=π/2+πn⇒x=π/6+πn/3,n∈z
4
sinxsin7x=sin3xsin5x
1/2[cos(7x-x)-cos(7x+x)]=1/2[cos(5x-3x)-cos(5x+3x)]
cos6x-cos8x=cos2x-cos8x
cos6x=cos2x
6x=2x+2πn U 6x=-2x+2πn
4x=2πn U 8x=2πn
x=πn/2 U x=πn/4-общий

1.9. Решите графическим систему уравнений: (3х + y = 5, -3х + y = 4, 1) 2) у = х2 ; у = х3 ; — 5х = -2, 3) 4) 3х – 2y = 6, у = = х2. ( у = хз. ;

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