Sine/Cosine equivalent to Plus or Minus

Question

The job that the $\pm$ symbol does is denoting two expressions that differ only in the sign of the summand following the $\pm$. For example, $$b\pm a$$ denotes both $b+a$ and $b-a$ compactly. I am wondering if a common notation exists for the sine and cosine: a notation that compactly represents two expressions that differ only in the trig function, but not the argument.