sin() and cos()... wtf? (c++)

Check this out:

double direction, length, result1, result2;
out << "direction?\n";
cin >> direction;
result1 = cos(direction);
result2 = sin(direction);
cout << result1 << "\n";
cout << result2 << "\n";This code is fucked up, because when I enter 45, it should return the same value (.70786 or something similar).  Instead, I get:

0.525322 (cos)
0.850904 (sin)

It's almost like the C++ library is fucked up or something.  I know I haven't forgotten basic geometry (windows calculator bears this out) and I don't think I'm going insane, so WHAT AM I DOING WRONG?

>>5
Don't count on the compiler optimizing anything for you.