Find the exact value of \( \cos \frac{\pi}{2} \)
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Mind Expander
Did you know that \( \cos \frac{\pi}{2} \) equals 0? It’s a fantastic example of how trigonometric functions work on the unit circle! When you visualize the unit circle, the angle \( \frac{\pi}{2} \) radians points directly up to the top of the circle, where the x-coordinate (which corresponds to the cosine) is 0. Now, let’s dive into some real-world applications! Understanding how cosine functions behave is vital in fields like engineering and physics. For instance, when analyzing waveforms, such as sound waves or light waves, the cosine function frequently comes into play, allowing engineers to model and manipulate these waves for various technologies, from audio systems to communication devices!
