sympy: test subexpression for trig function - sympy

Question

I am trying to test whether any sub-expression contains a sin function (or any trig function)
from sympy import sin, symbols, Wild
A, B, x, y = symbols('A, B, x, y')
W1=Wild('W1')
I can do this:
>> (A*sin(x)+B*sin(y)).has(sin(x))
out: True
But this does not work:
>>: (A*sin(x)+B*sin(y)).has(sin(W1))
out: False
How do I test for one or more sin functions regardless of argument?

Answer 1

If you want to use Wilds, use find:
In [11]: (A*sin(x)+B*sin(y)).find(sin(W1))
Out[11]: set([sin(x), sin(y)])
But if you are searching for a single function like sin, and not generic expressions, an easier and faster way is to use atoms:
In [12]: (A*sin(x)+B*sin(y)).atoms(sin)
Out[12]: set([sin(x), sin(y)])
If you want to check for multiple trig functions, atoms takes multiple arguments, which is more efficient than calling it multiple times
In [14]: (A*sin(x)+B*cos(y)).atoms(sin, cos)
Out[14]: set([sin(x), cos(y)])

Answer 2

In my first attempt, I tried to test for sin using a wild card for an argument
>>: (A*sin(x)+B*sin(y)).has(sin(W1))
out: False
After reading asmeuer's answer and experimenting a bit, I discovered that you can simply pass the class sin (no argument) and it works:
>>: (A*sin(x)+B*sin(y)).has(sin, cos)
out: True
Thus, use has if you want a logical test and use atoms if you want a set of the functions that appear in the expression.
Question: is there a general class I can use to test for the presence of any trig function (sin, cos, tan, atan, ...)?