Matematika

Pertanyaan

Jika a,b,c sudut-sudut pada segitiga,maka sin 1/2(b+c)

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    a + b + c = 180°
    b + c = 180° - a
    1/2 . (b + c) = 1/2 . (180° - a)
    1/2 . (b + c) = (90° - 1/2 . a)
    sin (1/2 . (b + c)) = sin (90° - 1/2 . a)
    sin (1/2 . (b + c)) = cos (1/2 . a) = cos (a/2)

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