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If sin(A + B) = 1 and 2 sin (A - B) = 1,...

If `sin(A + B) = 1 `and `2 sin (A - B) = 1, `where `0 lt A, B lt pi/2` then what is tan A:tan B equal to?

A

`1:2`

B

`2:1`

C

`1:3`

D

`3:1 `

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