Marginalized and joint posterior distributions of ﹩\cos {i}_{\star }﹩, the sky-projected obliquity λ, the orbital inclination i_p, and the true three-dimensional obliquity ψ for TOI-560 b (left) and TOI-5082 b (right). The λ and i_p samples are drawn from the joint allesfitter nested-sampling posterior, preserving their covariance, while the ﹩\cos {i}_{\star }﹩ posterior is inferred independently from the stellar radius, rotation period, and projected rotation velocity. The degeneracy between i_⋆ and 180° − i_⋆ is incorporated by assigning equal probability to the two signs of ﹩\cos {i}_{\star }﹩. The dark and light shaded contours enclose 68% and 95% of the two-dimensional posterior probability, respectively. The red dashed lines mark the one-sided 95% credible upper limits, ψ < 69﹩\mathop{.}\limits^{{\unicode{x000b0}}}﹩7 for TOI-560 b and ψ < 50﹩\mathop{.}\limits^{{\unicode{x000b0}}}﹩5 for TOI-5082 b.