Vector Algebra

If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are non-coplanar unit vectors such that \(\mathbf{a} \times(\mathbf{b} \times \mathbf{c})=\frac{\mathbf{b}+\mathbf{c}}{\sqrt{2}}\), then the angle between \(\mathbf{a}\) and \(\mathbf{b}\) is