If Sin(A + B) = Cos(A - B) = √(3)/2 and A and B are acute angles. The measures of angles A and B (in degrees) will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. A = 45 and B = 15.
| Understanding/Application |
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sin(A + B) = √3/2 sin(A + B) = sin60 A + B = 60 ...(1 cos(A - B) = √3/2 cos(A - B) = cos30 A - B = 30 ......(2 |
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Adding eq1 and 2 - 2A = 90 A = 45 A + B = 60 45 + B = 60 B = 15 |