Question

If time bound and continuity are two measurable quantities respectively equal toA & B. If Sin (A – B) = 1/2, cos(A+B)= 1/2, where 0° < A + B ≤ 90° find the values of A and B.

Answer 1

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Answer 2

GIVEN:
Sin (A – B) = 1/2
cos(A+B)= ½

Sin (A – B) = ½
Sin (A – B) = sin 30°
(A – B) = 30°…………..(1)

[ sin 30° = ½]

And , cos(A+B)= 1/2
cos(A+B)= cos 60°
(A+B)= 60°…………..(2)

[cos 60° = ½]

On adding eq 1 & 2

A – B= 30°
A+ B= 60°
---------------------
2A = 90°

A = 90/2 =45°
A = 45°

On putting the value of A = 45° in eq 1

A – B= 30°
45° - B = 30°
45° - 30° = B
15° = B

Hence, the values of A is 45° & B is 15°.

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