Oblicz sinus, tangens

[R33]

Wiadomo, że \(\displaystyle{ cos \alpha = \frac{12}{13}}\) i \(\displaystyle{ \alpha \in (\frac{3 \pi}{2} ; 2 \pi)}\).
b) Wyznacz \(\displaystyle{ sin(\alpha + 30^{\circ})}\)
c) Wyznacz \(\displaystyle{ sin(\alpha - 45^{\circ})}\)

\(\displaystyle{ sin \alpha = - \frac{5}{13} \\ tg \alpha = - \frac{5}{12}}\)

[epicka_nemesis]

Wiadomo, że \(\displaystyle{ cos \alpha = \frac{12}{13}}\) i \(\displaystyle{ \alpha \in (\frac{3 \pi}{2} ; 2 \pi)}\).
b) Wyznacz \(\displaystyle{ sin(\alpha + 30^{\circ})}\)

\(\displaystyle{ sin(\alpha + 30^{\circ})=sin \alpha{\cdott}cos30^{\circ}+cos \alpha{\cdot}sin^{\circ}}\)