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24 December, 03:26

Cos (A+B) = 1/5

COS (A-B) = 3/5

Then find tan (A-B)

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Answers (1)
  1. 24 December, 07:24
    0
    tan (A-B) = ± 4/3

    Step-by-step explanation:

    COS (A-B) = 3/5

    COS² (A-B) = (3/5) ² = 9/25 = 1 - sin² (A-B)

    sin² (A-B) = 1 - 9/25 = 16/25

    sin (A-B) = ± 4/5

    tan (A-B) = sin (A-B) / cos (A-B) = (± 4/5) / (3/5) = ± 4/3
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