The question shown asks to find the value of $\cos(19^\circ)$ and round the answer to four decimal places.

Let me calculate it for you.

$\cos(19^\circ) \approx 0.9455$

Thus, the value of $\cos(19^\circ)$, rounded to four decimal places, is 0.9455.

Would you like more details on how cosine works or have any further questions?

Here are some related questions for you:

1. What is the cosine of other common angles, like $30^\circ$ or $45^\circ$?
2. How does the unit circle help in understanding trigonometric functions?
3. How do sine and cosine values relate to right-angle triangles?
4. What is the difference between degrees and radians in trigonometry?
5. How do trigonometric identities like $\cos^2\theta + \sin^2\theta = 1$ work?

Tip: In many calculators, make sure it's set to degrees (not radians) when computing trigonometric values in degrees!