  Given an $S\cong \mathbb{R}P^2$ smoothly embedded in a 4-manifold $X^4$ with
Euler number 2 or -2, the Price twist is a surgery operation on $\nu(S)$
yielding (up to) three different 4-manifolds: $X^4,\tau_S(X^4),\Sigma_S(X^4)$.
This is of particular interest when $X^4=S^4$, as then $\Sigma_S(X^4)$ is a
homotopy 4-sphere which is not obviously diffeomorphic to $S^4$. In this paper,
we show how to produce a trisection description of each Price twist on
$S\subset X^4$ by producing a relative trisection of $X^4\setminus\nu(S)$.
Moreover, we show how to produce a trisection description of general surface
complements in 4-manifolds.
