Question

trig ratios practice due: october 8 at 8:00 am grade: 40% question find the exact value of cos x in simplest radical form. cos x = answer attempt 1 out of 2

Explanation:

Step1: Recall cosine ratio formula

The cosine of an angle in a right - triangle is defined as $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $X$, the adjacent side to angle $X$ is $6$ and the hypotenuse is $\sqrt{73}$.

Step2: Write the cosine value

So, $\cos X=\frac{6}{\sqrt{73}}$. To rationalize the denominator, we multiply the numerator and denominator by $\sqrt{73}$, getting $\cos X = \frac{6\sqrt{73}}{73}$.

Answer:

$\frac{6\sqrt{73}}{73}$