INFORMATION:
We have the next triangle
And we must find the value of cos X.
STEP BY STEP EXPLANATION:
To find the value of cos X we need to use the formula for trigonometric ratios, in this case for cos
[tex]cos\theta=\frac{adjacent\text{ }side\text{ }of\text{ }\theta}{Hypotenuse}[/tex]
Now, analyzing the triangle we can see that
- adjacent side of X = 18
- Hypotenuse = 30
Finally, replacing the values in the formula we obtain
[tex]\begin{gathered} cosX=\frac{18}{30} \\ \text{ Simplifying, } \\ cosX=\frac{3}{5} \end{gathered}[/tex]
ANSWER:
[tex]cosX=\frac{3}{5}[/tex]
