cos (A + B) = 1/2 and sin (A - B) = 1/2, 0° < A+B < 90° and A - B > 0°. What are the values of angle A and B?
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Answer:
A=45°, B=15°
Step-by-step explanation:
cos(A+B)=½
cos 60° =½
A+B=60°--eq1
sin(A-B)=½
sin 30° =½
A-B=30°--eq2
Add eq1 and eq2, we get
2B=30°
B=30°/2
B=15°
Substituting B=15° in eq2
A-B=30°
A-15°=30°
A=30°+15°
A=45°
Therefore, the value of A and B is 45° and 15°.
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