Matematika

Pertanyaan

Diketahui sin A = 8/17 dan tan B = 12/5, A sudut tumpul dan B sudut lancip. Nilai (A+B) =

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  • coba nilai sin (A+B)= ...

    sin A = 8/17 = y/r
    triple pitagoras  x,y,r = 15, 8, 17
    cos A = x/r =  -15/17

    tan B = 12/5= y/x
    triple pitagoras x,y, r = 5, 12, 13
    sin B = y/r= 12/13
    cos B = x/r = 5/13

    sin (A+B)= sin A cos B + cos A sin B
    sin (A+B) = (8/17 x 5/13) + (-15/17 x 12/13)
    sin (A+B) = 40/221 - 180/221 = - 140/221

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