  Legendre transformations provide a natural symmetry on the space of solutions
to the WDVV equations, and more specifically, between different Frobenius
manifolds. In this paper a twisted Legendre transformation is constructed
between solutions which define the corresponding dual Frobenius manifolds. As
an application it is shown that certain trigonometric and rational solutions of
the WDVV equations are related by such a twisted Legendre transform.
