Задание

Соотнеси элементы

\(\sin 15^\circ\) \(\sin(45^\circ+30^\circ)\)
\(\sin 75^\circ\) \(\cos(90^\circ+30^\circ)\)
\(\cos 120^\circ\) \(\cos(90^\circ+60^\circ)\)
\(\cos 150^\circ\) \(\sin(45^\circ-30^\circ)\)
  1. \(\sin \left ( \alpha+\beta \right) = \sin \left ( \alpha \right) \cos\left ( \beta \right) +\cos \left ( \alpha \right) \sin\left ( \beta \right)\) .
  2. \(\cos \left ( \alpha+\beta \right)= \cos \left ( \alpha \right)\cos \left ( \beta \right) - \sin \left ( \alpha \right)\sin \left ( \beta \right)\) .
  3. \(\sin \left ( \alpha-\beta \right) = \sin \left ( \alpha \right) \cos\left ( \beta \right) -\cos \left ( \alpha \right) \sin\left ( \beta \right)\) .
  4. \(\cos \left ( \alpha-\beta \right)= \cos \left ( \alpha \right)\cos \left ( \beta \right) + \sin \left ( \alpha \right)\sin \left ( \beta \right)\) .