Matematika

Pertanyaan

Dik: sin A= 6/10 , cos B= 12/13
A dan B lancip
Hitunglah:
a. Sin (A+B)
b. Cos (A-B)

1 Jawaban

  • Fungsi trigonometri

    sin A = 6/10 = 3/5 --> triple = 3,4 5
    cos A = 4/5

    cos B = 12/13 --> triple = 5,12,13
    sin B  = 5/13

    a. sin (A+B)= sinA cos B + cos A sin B
    sin(A+B)= (3/.5)(12/13) + (4/5)(5/13)
    sin(A+B) = (36 + 20)/65 = 56/65

    b. cos (A-B)= cos A cos B + sin A sin B
    cos (A- B) = (4/5)(12/13) + (3/5)(5/13)
    cos(A-B) = (48+ 15)/(65) = 63/65

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