Matematika

Pertanyaan

misal diketahui nilai 6sinx+12cosx=7 dan 6sinx-3cosx = 2 .Nilai 2tanx =

1 Jawaban

  • 6 sin x + 12 cos x = 7
    6 sin x - 3 cos x = 2
    ------------------------------ (-)
    15 cos x = 5
    cos x = 5/15
    cos x = 1/3

    6 sin x - 3 cos x = 2
    6 sin x - 3 . 1/3 = 2
    6 sin x - 1 = 2
    6 sin x = 2 + 1
    sin x = 3/6
    sin x = 1/2

    2 tan x
    = 2 . sin x/cos x
    = 2 × 1/2 × 3/1
    = 3

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