Is there a non-zero rational number q such that sin(q) is rational (radian measure)?

How about a transcendental number with transcendental sine?

(In reply to How many digits? by Erik O.)

It seems to me that what is meant in the problem is that the rational numbers are to be exact, so they are perhaps best represented as ratios of whole numbers rather than as decimals.

Posted by Richard on 2005-05-05 04:15:08