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12. intro to soh - cah - toa day 2 due: december 14 at 8:00 pm grade: 4…

Question

  1. intro to soh - cah - toa day 2 due: december 14 at 8:00 pm grade: 43% hypotenuse identifying trig ratios (diagram), level 1 identifying trig ratios (diagram), level 1 identifying trig ratios (diagram), level 2 identifying trig ratios (no diagram) answer attempt 1 out of 2 express cos f as a fraction in simplest terms. cos f =

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 $\angle F$, the side adjacent to $\angle F$ is $\sqrt{42}$ and the hypotenuse is 15.

Step2: Write the cosine ratio

So, $\cos F=\frac{\sqrt{42}}{15}$. Since $\sqrt{42}$ and 15 have no common factors other than 1, this fraction is in simplest terms.

Answer:

$\frac{\sqrt{42}}{15}$