If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B ≤ 90o and A

1.	If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B ≤ 90o and A > B, then find A and B.
Answer» sin(A + B) = 1 = sin 90^o A + B = 90^o ........(i) sin (A-B) = 1/2 = sin 30^o A - B = 30^o ........(ii) Solving eq. (i) and (ii), A = 60^o and B = 30^o

If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B ≤ 90o and A > B, then find A and B.

Answer»

sin(A + B) = 1 = sin 90^o

A + B = 90^o ........(i)

sin (A-B) = 1/2 = sin 30^o

A - B = 30^o ........(ii)

Solving eq. (i) and (ii),

A = 60^o and B = 30^o

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If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B ≤ 90o and A &gt; B, then find A and B.

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If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B ≤ 90o and A > B, then find A and B.