Question

If sin (A – B) =1/2 cos(A + B) 1/2= 0° < theta < 90°, A > B, find A and B.

Answer 1

Answer:

A=45° ,B=15°

Step-by-step explanation:

sin(A-B)=½

sin30°=½

A-B=30°--eq1

cos(A+B)=½

cos60°=½

A+B=60°--eq2

Add eq1 and eq2, we get

2B=30°

B=30°/2

B=15°

Substitute B=15° in eq1

A-B=30°

A-15°=30°

A=30°+15°

A=45°

Answer 2

Step-by-step explanation:

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