code.sagews

sin?

/ext/sage/sage-8.0/local/lib/python2.7/site-packages/urllib3/contrib/pyopenssl.py:46: DeprecationWarning: OpenSSL.rand is deprecated - you should use os.urandom instead import OpenSSL.SSL

File: /ext/sage/sage-8.0/local/lib/python2.7/site-packages/sage/functions/trig.py
Signature : sin(self, coerce=True, hold=False, dont_call_method_on_arg=False, *args)
Docstring :
The sine function.

EXAMPLES:

   sage: sin(0)
   0
   sage: sin(x).subs(x==0)
   0
   sage: sin(2).n(100)
   0.90929742682568169539601986591
   sage: loads(dumps(sin))
   sin
   sage: sin(x)._sympy_()
   sin(x)

We can prevent evaluation using the "hold" parameter:

   sage: sin(0,hold=True)
   sin(0)

To then evaluate again, we currently must use Maxima via
"sage.symbolic.expression.Expression.simplify()":

   sage: a = sin(0,hold=True); a.simplify()
   0

If possible, the argument is also reduced modulo the period length
2pi, and well-known identities are directly evaluated:

   sage: k = var('k', domain='integer')
   sage: sin(1 + 2*k*pi)
   sin(1)
   sage: sin(k*pi)
   0