(A) True. Sun–synchronous orbits are near-polar (inclination $\approx 97$–$99^\circ$) so the orbital plane precesses with Earth’s revolution to keep constant local solar time.
(B) True. By design, the orbital plane precesses $\approx 1^\circ$/day to match Earth’s mean motion around the Sun, so each equator crossing occurs at (nearly) the same local solar time though at different longitudes on successive passes.
(C) True. The constant local time-of-day ensures nearly constant illumination geometry (Sun angle), hence nearly the same sun–target–satellite geometry for observations at different longitudes/days.
(D) False. The inclination is not $<1^\circ$; it is close to $98^\circ$ (retrograde near-polar).
\[
\boxed{\text{Correct statements: (A), (B), (C); (D) is false.}}
\]