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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 even 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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