Is-there-any-n-N-such-that-sin-n-Q-

Question Number 209519 by depressiveshrek last updated on 12/Jul/24

Is there any n \in N such that

\sin (n) \in Q ?

Commented by Rasheed.Sindhi last updated on 12/Jul/24

n i n d e g r e e s ?

Commented by depressiveshrek last updated on 12/Jul/24

No that would be too easy

Commented by mr W last updated on 12/Jul/24

n o! t h e r e i s e v e n n o r a t i o n a l n u m b e r

n, e x c e p t z e r o, s u c h t h a t \sin (n) i s

r a t i o n a l .

a c t u a l l y t h e o n l y r a t i o n a l v a l u e s o f

\sin (x) a r e : 0, \pm \frac{1}{2}, \pm 1 .

\Rightarrow s e e a l s o {N i v e n}^{'} s t h e o r e m

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