find the general Solution of the following equation. \( \operatorname{Sin} 4 x-\operatorname{Sin} x=0 \)

COMPLETA a. Se \( \alpha=\frac{\pi}{2} \rightarrow \cos \alpha=4 \) e \( \sin \alpha=0 \). b. \( \operatorname{se} \alpha=-\frac{\pi}{2} \rightarrow \cos \alpha=\square \) e \( \sin \alpha=\square \)

b. Se \( \alpha=-\frac{\pi}{2} \rightarrow \cos \alpha=0 \) esin \( \alpha=4 \). Aiutandoti con la circonferenza goniometrica, stabilisci se i seguenti valori sono positivi, negativi o nulti, \( \sin \left(-\frac{5}{2} \pi\right) ; \cos \frac{7}{6} \pi ; \sin 380^{\circ} ; \cos 452^{\circ} ; \sin 7 \pi ; \cos \left(-170^{\circ}\right) \).

Définissez la fonction tangente en termes des côtés d'un triangle rectangle.

\( \frac{\cos \theta \csc \theta}{\tan \theta} \) أي مما يأتي يكانئ العبارة

14. Use the basic identities to find the values of the other five trigonometric functions given \( \sin x=-\frac{1}{2} \) and the angle \( x \) in the \( 4^{\text {th }} \) quadrant.