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White raven [17]
3 years ago
11

Cos (A+B) =1/5COS (A-B) = 3/5Then find tan (A-B)​

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

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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