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If sin theta= sin alpha, then...

If `sin theta= sin alpha`, then

A

`(theta + alpha)/(2)` is any multiple of `(pi)/(2)` and `(theta - alpha)/(2)` is any odd multiple of `pi`

B

`(theta + alpha)/(2)` is any odd multiple of `(pi)/(2)` and `(theta - alpha)/(2)` is any multiple of `pi`

C

`(theta + alpha)/(2)` is any multiple of `(pi)/(2)` and `(theta - alpha)/(2)` is any multiple of `pi`.

D

`(theta + alpha)/(2)` is any even multiple of `(pi)/(2)` and `(theta - alpha)/(2)` is any odd multiple of `pi`.

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