Question

express the trig ratios as fractions in simplest terms.
answer attempt 1 out of 2
$sin v = \frac{3}{5}$
$cos u = \frac{3}{5}$
$sin v$ and $cos u$
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are equal
are not equal

Explanation:

Step1: Define sine for $\angle V$

$\sin V = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{UT}{UV} = \frac{39}{65} = \frac{3}{5}$

Step2: Define cosine for $\angle U$

$\cos U = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{UT}{UV} = \frac{39}{65} = \frac{3}{5}$

Step3: Compare the two values

Since $\sin V = \frac{3}{5}$ and $\cos U = \frac{3}{5}$, they are equal.

Answer:

$\sin V = \frac{3}{5}$
$\cos U = \frac{3}{5}$
$\sin V$ and $\cos U$ are equal