Matematika

Pertanyaan

cos x cos y=1/4 dan sin x sin y= 3/8, sin (x+y)=

1 Jawaban

  • cos (x+y ) = cos x cos y - sin x.sin y
    = 1/4 -3/8.
    = 2/8 - 3/8 = -1/8
    sin^2 (x+y) = 1 - cos^2 ( x+y)
    sin (x+y) = akar { 1 - cos^2(x+y) }
    = akar { 1 - (-1/8)^2}
    = akar ( 1 - 1/64)
    = akar ( 64/64 - 1/64)
    = akar 63/64
    = akar (9.7/64)
    = 3/8 akar 7

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