  We present results from a search for solar bosonic dark matter using the
annual modulation method with the COSINE-100 experiment. The results were
interpreted considering three dark sector bosons models: solar dark photon;
DFSZ and KSVZ solar axion; and Kaluza-Klein solar axion. No modulation signal
that is compatible with the expected from the models was found from a data-set
of 2.82 yr, using 61.3 kg of NaI(Tl) crystals. Therefore, we set a 90$\%$
confidence level upper limits for each of the three models studied. For the
solar dark photon model, the most stringent mixing parameter upper limit is
$1.61 \times 10^{-14}$ for dark photons with a mass of 215 eV. For the DFSZ and
KSVZ solar axion, and the Kaluza-Klein axion models, the upper limits exclude
axion-electron couplings, $g_{ae}$, above $1.61 \times 10^{-11}$ for axion mass
below 0.2 keV; and axion-photon couplings, $g_{a\gamma\gamma}$, above $1.83
\times 10^{-11}$ GeV$^{-1}$ for an axion number density of $4.07 \times
10^{13}$ cm$^{-3}$. This is the first experimental search for solar dark
photons and DFSZ and KSVZ solar axions using the annual modulation method. The
lower background, higher light yield and reduced threshold of NaI(Tl) crystals
of the future COSINE-200 experiment are expected to enhance the sensitivity of
the analysis shown in this paper. We show the sensitivities for the three
models studied, considering the same search method with COSINE-200.
