a) \( \sin \frac{\pi}{5}-\sin \frac{\pi}{10} \) б) \( \sin \frac{\pi}{3}+\sin \frac{\pi}{4} \)

Найдите множество значений функции \( y=4 \cos x-3 \) \( y \in(-1 ; 1) \)

What is the definition of the cosine function in relation to a right triangle using the adjacent side and hypotenuse?

Дано, что \( \operatorname{tg} \alpha=\frac{5}{12} \). Рассчитай синус этого угла.

\( \sin 20 ^ { \circ } \sin 4 \theta ^ { \circ } \sin 80 ^ { \circ } \)

If the adjacent side measures 8 meters and the angle opposite to it is 45 degrees, calculate the length of the opposite side using trigonometric ratios.