Matematika

Pertanyaan

Cos A.cos B=2/5 dan (A-B)=π/3
Maka cos(A+B)=...

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  • Trigonometri

    cos A cos B = 2/5
    (A -B) = π/3 = 60°

    cos (A - B) = sin A sin B + cos A cos B
    cos 60 = sin A sin B + 2/5
    1/2 = sin A sin B+ 2/5
    sin A sin B  = 1/2 - 2/5
    sin A sin B = 1/10

    cos (A+B) = sin A sin B - cos A cos B
    cos (A+b) = 1/10 - 2/5 = - 3/10

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