3. Let $a=\sin \left(\sin 2007^{\circ}\right)$,
$$
\begin{array}{l}
b=\sin \left(\cos 2007^{\circ}\right), \\
c=\cos \left(\sin 2007^{\circ}\right), \\
d=\cos \left(\cos 2007^{\circ}\right) .
\end{array}
$$

Then the size relationship of $a, b, c, d$ is ().
(A) $a<b<c<d$
(B) $b<a<d<c$
(C) $c<d<b<a$
(D) $d<c<a<b$
3. B.

Since $2007^{\circ}=5 \times 360^{\circ}+180^{\circ}+27^{\circ}$, therefore,
$$
\begin{array}{l}
a=\sin \left(-\sin 27^{\circ}\right)=-\sin \left(\sin 27^{\circ}\right)<0, \\
d=\cos \left(-\cos 27^{\circ}\right)=\cos \left(\cos 27^{\circ}\right)>0 .
\end{array}
$$

Also, $\sin 27^{\circ}<\cos 27^{\circ}$, hence $b<a<d<c$.