Question

4. If cos(A – B) = √3 / 2, cos(A + B) = 1 / 2, where A and B are acute angles. Find A and B.
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Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

Step-by-step explanation:

cos(A – B) = √3 / 2        (given)

cos(A - B) = cos 30

A - B = 30      - Eq.1

cos(A + B) = 1 / 2             (given)

cos(A + B) = cos 60

A + B = 60      - Eq.2

Eq.1 + Eq.2

A - B + A + B = 30 + 60

2A = 90

A = 45

Eq.1 - Eq.2

A - B - A - B = 30 - 60

2B = 30

B = 15

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