плиз)срочно надо)Разложите на множители.1)sin3α+sinα2)cos2α+cos3α3)cosx-cos3x4)s...

July 2022 2 2 Report

плиз)срочно надо)
Разложите на множители.
1)sin3α+sinα
2)cos2α+cos3α
3)cosx-cos3x
4)siny-sin5y

yulduz9714 1)sin3α+sinα=2sin(3α+α)/2*cos(3α-α)=2sin2α*cosα sinα+sinβ=2sin(α+β)/2*cos(α-β)/2
2)cos2α+cos3α=2cos(2α+3α)/2*cos(2α-3α)=2cos5α/2*cosα/2 cosα+cosβ=2cos(α+β)/2*cos(α-β)/2
3)cosx-cos3x=-2sin(x+3x)/2*sin(x-3x)/2=-2sin2x*sin(-x)=2sin2xsinx
cosα-cosβ=-2sin(α+β)/2*sin(α-β)/2
4)siny-sin5y=2sin(y-5y)/2*cos(y+5y)=2sin(-2y)*cos3y=-2sin2y*cos3y
sinα-sinβ=2sin(α-β)/2*cos(α+β)/2

4 votes Thanks 13

ГоспожаЛи 1)3(sina+sina)3)3(cosx-cosx)4)5(siny-siny)

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