In a right triangle, if one angle measures 30 degrees and the length of the side opposite this angle is 5 units, what is the length of the hypotenuse?

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, \( \sin \left(-\frac{5}{2} \pi\right) ; \cos \frac{7}{6} \pi ; \sin 380^{\circ} ; \cos 452^{\circ} ; \sin 7 \pi ; \cos \left(-170^{\circ}\right) \).

In terms of the sides of a right triangle, how would you express \( \tan(\theta) \)?

3. Find the radian measure of each angle below: \( \begin{array}{llll}\text { (a) } 35^{\circ} & \text { (b) } 80^{\circ} & \text { (c) } 145^{\circ} & \text { (d) } 220^{\circ}\end{array} \)

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.

5.2 Determine the following with the aid of a calculator 5.2.1 \( \quad \) the size of the angle \( \alpha \). 5.2.2 the area of the \( \triangle P O X \) if it given that \( \mathrm{X}(2 ; 0) \)