14. Which is equivalent to \( \sin (55) \) ? a. \( \cos (55) \) b. \( \cos (35) \) c. \( \tan (35) \) d. \( \tan (55) \)

Did you know that \( \sin(55^\circ) \) is actually equal to \( \cos(35^\circ \)? This happens because of a nifty little identity in trigonometry: \( \sin(\theta) = \cos(90^\circ - \theta) \). So, when you take \( 55^\circ \) and subtract it from \( 90^\circ \), you get \( 35^\circ \). In real-world applications, understanding these relationships is super useful! For instance, in architecture and engineering, sin and cos functions help determine slopes, angles, and structural integrity. So, if you're ever drawing up plans for a building or ramp, knowing that \( \sin(55^\circ) = \cos(35^\circ) \) might just save you a bit of time and ensure everything lines up perfectly!