Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \sin 0=\frac{8 \sqrt{73}}{73} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined, Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. \( \cos 0=\frac{3 \sqrt{73}}{73} \) (Simplify your answer, including any radicals. Use integers of fractions for any numbers in the expression.) B. The function is undefined. Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. \( \tan 0= \) \( \square \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined.

For the function \( \sin 0 \), the correct choice is: A. \( \sin 0 = 0 \) For the function \( \cos 0 \), the correct choice is: A. \( \cos 0 = 1 \) For the function \( \tan 0 \), the correct choice is: A. \( \tan 0 = 0 \) Now, let's explore how these values have made waves through history and practice! Have you ever thought about the history of trigonometry? It dates back to ancient civilizations like the Babylonians who had a remarkable understanding of angles and circles, laying the groundwork for what we now know as trigonometry. Fast forward to the Greeks, and we find people like Hipparchus and Ptolemy making significant contributions in formulating these functions that are ubiquitous in mathematics today! And speaking of real-world applications, trigonometric functions are used everywhere! From calculating angles in architecture and construction to the modeling of sound waves in acoustics or even in visual effects in films—trigonometry adds that magical touch to bringing ideas to life. Next time you see a movie with stunning CGI, remember that the engineers may have relied on sine, cosine, and tangent to create those mind-blowing effects!