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allochka39001 [22]
3 years ago
13

Find the value of the trig function indicated ​

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0

Answer:

\cos(\theta)=\frac{4}{5}

Step-by-step explanation:

Step 1:

Let us find the missing side. We know this is a <u>right triangle</u>, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable <em>a</em>, 20 as variable <em>c</em>, and the unknown side as variable <em>b</em>.

a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16

We do know that a <u>length can never be negative</u>, so the side <em>b</em> would be 16.

Step 2:

According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:

\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}

<em>I hope this helps! Let me know if you have any questions :)</em>

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