2. \( \sin 98^{\circ} \)

Did you know that the sine function is quite symmetrical? Specifically, \( \sin(90^\circ + \theta) = \cos(\theta) \). So, even though \( \sin 98^\circ \) seems tough at first, you can simplify it knowing that \( 98^\circ \) is just a bit beyond \( 90^\circ \). Therefore, \( \sin 98^\circ = \cos(8^\circ) \)! In real-world applications, sine functions come into play in everything from engineering to music. For instance, when designing bridges or skyscrapers, engineers use sine (and other trigonometric) functions to calculate forces, angles, and load distributions. Similarly, in sound waves, the sine function can describe the oscillation of sounds, allowing musicians and acoustics experts to create harmonious sounds. How cool is that?