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Rational sine (
Posted on 20050502
)
Is there a nonzero rational number q such that sin(q) is rational (radian measure)?
How about a transcendental number with transcendental sine?
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Submitted by
lmnop
Rating:
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(2 votes)
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Can't be done
 Comment 6 of 7 
There is no such rational number.
If x is any nonzero algebraic number then it follows from the "general Lindemann theorem" that sin (x) is transcendental. This is very deep stuff.
Posted by
JayDeeKay
on 20060519 12:10:52
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