Jika nilai Tan 165° + Tan 75° = m, maka nilai m adalah? Mohon dibantuuuh yaaa

Trigonometri.
Kelompok peminatan kelas XI kurikulum 2013 revisi 2016.

tan A + tan B
= sin A / cos A + sin B / cos B
= (sin A cos B + cos A sin B) / (cos A cos B)
= sin (A + B) / {1/2 [cos (A + B) + cos (A - B)]}
= 2 sin (A + B) / [cos (A + B) + cos (A - B)]

tan 165° + tan 75° = m
m = 2 sin (165° + 75°) / [cos (165° + 75°) + cos (165° - 75°)]
    = 2 sin 240° / (cos 240° + cos 90°)
    = 2 (-1/2 √3) / (-1/2 + 0)
    = 2√3