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  • 幾道輔助角公式題~

    幾道輔助角公式題~
    sinx+cosx=?
    sinx-cosx=?
    sinx+根號(hào)3*cosx=?
    sinx-根號(hào)3*cosx=?
    根號(hào)3*sinx+cosx=?
    根號(hào)3*sinx-cosx=?
    數(shù)學(xué)人氣:230 ℃時(shí)間:2020-03-12 19:58:56
    優(yōu)質(zhì)解答
    sinx+cosx
    =√2(sinxcosπ/4+cosxsinπ/4)
    =√2sin(x+π/4)
    sinx-cosx
    =√2(sinxcosπ/4-cosxsinπ/4)
    =√2sin(x-π/4)
    sinx+根號(hào)3*cosx
    =2(sinxcosπ/3+cosxsinπ/3)
    =2sin(x+π/3)
    sinx-根號(hào)3*cosx
    =2(sinxcosπ/3-cosxsinπ/3)
    =2sin(x-π/3)
    根號(hào)3*sinx+cosx
    =2(sinxcosπ/6+cosxsinπ/6)
    =2sin(x+π/6)
    根號(hào)3*sinx-cosx
    =2(sinxcosπ/6-cosxsinπ/6)
    =2sin(x-π/6)
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