Matematika

Pertanyaan

jika a+b = π/3 dan cos A cos B = 5/8 , nilai (A-B) =
tolong pake cara

1 Jawaban

  • Trigonometri

    (A+B) = π/3
    cos (π/3)= 1/2
    cos (A + B) = cos A cos B - sin A sin B
    cos A cos B -  sin A sin B = 1/2

    cos A cos B = 5/8
    5/8 - sin A sin B  = 1/2
    sin A sin B = 5/8 - 1/2 = 1/8

    cos (A - B) = cos A cos B + sin A sin B
    cos(A - B ) = 5/8 + 1/8 = 6/8 = 3/4
    (A- B) = cos⁻¹ (3/4)  ---> dgn alat hitung  (A- B) = 41,41°

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