Question

express tan u as a fraction in simplest terms.
answer attempt 1 out of 2
\\( \tan u = \\)

Explanation:

Step1: Aplicar el teorema de Pitágoras

$$a^{2}+b^{2}=c^{2}$$
$$12^{2}+a^{2}=13^{2}$$
$$144 + a^{2}=169$$
$$a^{2}=169 - 144$$
$$a^{2}=25$$
$$a = 5$$

Step2: Aplicar la definición de la tangente

$$\tan U=\frac{\text{cateto opuesto}}{\text{cateto adyacente}}$$
$$\tan U=\frac{12}{5}$$

Answer:

$\frac{12}{5}$