Question

if sin (A-B)=1/2 and cos(A+B)=1/2, 0<(A+B)<90, A>B, find A and B.
step by step answer please...
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

A = 45° and B = 15°

Step-by-step explanation:

cos(A+B) = 1/2

⇒ cos (A+B) = cos(60)

⇒ A+B = 60

Also,

sin(A-B) = 1/2

⇒ sin(A-B) = sin(30)

⇒ A-B = 30

Solve (i) & (ii), we get

A + B = 60

A - B = 30

-------------------

2A = 90

A = 45

Place A = 45 in (i),

A + B = 60

=> 45 + B = 60

=> B = 15

Therefore,

A = 45° and B = 15°

Hope it helps!