Matematika

Pertanyaan

Diketahui cos A=7/26,sin B=5/13.AdanB sudut lancip, maka sin(A-B)=

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  • Sin(A-B)= sinA.cosB - cosA.sinB
    Cos A=(samping/miring)=7/25
    7=samping
    25=miring
    (pakai Δphytagoras);
    24=depan
    SinA=depan/miring=24/25
    SinB=5/13
    5=depan
    13=miring
    12=samping
    CosB= samping/miring=12/13
    Maka,
    Sin(A-B)= sinA.cosB - cosA.sinB
    =24/25.12/13 - 7/25.5/13
    = 288/325 - 35/325
    = 253/325

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