Question

Find the value of the trig functionQuestion 1Thank you for your help :)

Answer 1

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

`cos\theta=\frac{adjacent\text{ }side\text{ }of\text{ }\theta}{Hypotenuse}`

Now, analyzing the triangle we can see that

- adjacent side of X = 18

- Hypotenuse = 30

Finally, replacing the values in the formula we obtain

`\begin{gathered} cosX=(18)/(30) \\ \text{ Simplifying, } \\ cosX=(3)/(5) \end{gathered}`

ANSWER:

`cosX=(3)/(5)`