Question

question
express the trig ratios as fractions in simplest terms.
answer attempt 1 out of 2
$cos x = square$
$sin w = square$
$cos x$ and $sin w$
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Explanation:

Step1: Recall cosine definition

For angle $X$, $\cos X = \frac{\text{adjacent}}{\text{hypotenuse}}$
$\cos X = \frac{56}{70}$

Step2: Simplify the fraction

Divide numerator/denominator by 14:
$\cos X = \frac{56\div14}{70\div14} = \frac{4}{5}$

Step3: Recall sine definition

For angle $W$, $\sin W = \frac{\text{opposite}}{\text{hypotenuse}}$
$\sin W = \frac{56}{70}$

Step4: Simplify the fraction

Divide numerator/denominator by 14:
$\sin W = \frac{56\div14}{70\div14} = \frac{4}{5}$

Answer:

$\cos X = \frac{4}{5}$
$\sin W = \frac{4}{5}$