sin 225° + cos 330° + ctg 510° =
= sin (180° + 45°) + cos (270° + 60°) + ctg (360° + 90° + 60°) =
= - sin 45° + sin 60° - tg 60° =
========================================
Использованы формулы
sin (180° + α) = - sin α
cos (270° + α) = cos α
ctg (90° + α) = - tg α
ctg (360° + α) = ctg α
sin 225° + cos 330° + ctg 510° =
= sin (180° + 45°) + cos (270° + 60°) + ctg (360° + 90° + 60°) =
= - sin 45° + sin 60° - tg 60° =
========================================
Использованы формулы
sin (180° + α) = - sin α
cos (270° + α) = cos α
ctg (90° + α) = - tg α
ctg (360° + α) = ctg α