\( \begin{array}{lll}\text { 1) } \sin 12^{\circ}= & \text { 2) } \cos 14^{\circ}= \\ & \text { 3) } \cos 52^{\circ}= & \text { 4) } \cos 24^{\circ}=\end{array} \)

Here you go! If you look at the unit circle, you'll notice that angles like \(12^\circ\) and \(14^\circ\) play nicely with each other. They can actually be connected through some nifty angle addition formulas. Using these, you can find \( \sin 12^\circ \) and \( \cos 14^\circ \) with relatively simple calculations, even if it takes a bit of trigonometric manipulation. In practical scenarios, knowing the values of these trigonometric functions can help in various fields, from architecture to engineering! For instance, calculating angles of elevation while constructing buildings or designing ramps often relies on the sine and cosine functions. It's fascinating how these small angles can have such a big impact in the real world!