find the sine, cosine, and tangent of $angle u$.\nsimplify your answers and write them as proper fractions…

Explanation:

Step1: Find side WV via Pythagoras

$$WV = \sqrt{WU^2 - VU^2} = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24$$

Step2: Calculate sin(U) (opp/hyp)

$$\sin(U) = \frac{WV}{WU} = \frac{24}{26} = \frac{12}{13}$$

Step3: Calculate cos(U) (adj/hyp)

$$\cos(U) = \frac{VU}{WU} = \frac{10}{26} = \frac{5}{13}$$

Step4: Calculate tan(U) (opp/adj)

$$\tan(U) = \frac{WV}{VU} = \frac{24}{10} = \frac{12}{5}$$

Answer:

$\sin(U) = \frac{12}{13}$ $\cos(U) = \frac{5}{13}$ $\tan(U) = \frac{12}{5}$