Matematika

Pertanyaan

sin alpha cos beta =1/3, (alpha+beta)=5vi/6, nilai dari sin(alpha-beta)=

1 Jawaban

  • TriGonoMetRi

    sin a cos b = 1/3
    a + b = 5/6 π = 5/6 × 180° = 150°

    sin (a + b) = sin 150°
    sin a cos b + cos a sin b = 1/2
    1/3 + cos a sin b = 1/2
    cos a sin b = 1/2 - 1/3 = 1/6

    sin (a - b)
    = sin a cos b - cos a sin b
    = 1/3 - 1/6
    = 1/6 ✔

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