IPMAT Indore 2022 — Question 32

For $0<\theta <\pi /4$, let $a=((\sin \theta {)}^{\sin \theta })({\log }_2\cos \theta )$, $b=((\cos \theta {)}^{\sin \theta })({\log }_2\sin \theta )$, $c=((\sin \theta {)}^{\cos \theta })({\log }_2\cos \theta )$, $d=((\sin \theta {)}^{\sin \theta })({\log }_2\sin \theta )$. The median value is