Which of the following statements are al...

Which of the following statements are always correct (where Q denotes the set of rationals)?

A

`cos 2 theta in Q ` and `sin 2theta in Q rArr tan theta in Q` (if defined)

B

`tan theta in Q rArr sin 2 theta, cos 2theta "and" tan 2 theta in Q` ( if defined)

C

If `sin theta in Q " and" cos theta in Q rArr tan 3 theta in Q` ( if defined)

D

If `sin theta in Q rArr cos 3 theta in Q`

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The correct Answer is:

A, B, C

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