Question

If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2

Answer 1

Recall your sum-to-product identities:

sinA + sinB = 2 sin(A+B)/2 cos(A-B)/2
cosA + cosB = 2 cos(A+B)/2 cos(A-B)/2

That should get you started.

Answer 2

a/b is a value of tan[A-B/2]

Answer 3

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