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[{"role": "system", "content": "Trigonometry (from Greek \"trig\u014dnon\", \"triangle\" and \"metron\", \"measure\") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically. These calculations soon came to be defined as the trigonometric functions and today are pervasive in both pure and applied mathematics: fundamental methods of analysis such as the Fourier transform, for example, or the wave equation, use trigonometric functions to understand cyclical phenomena across many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying. Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees).\n"}, {"role": "assistant", "content": "I used to love the branch of mathematics called Trigonometry back in high school. What about you?"}, {"role": "user", "content": "I was kinda good at it but never really knew much about it, What exactly is Trigonometry? "}, {"role": "assistant", "content": "Trig is a study involving lengths and angles of triangles. It was really fun!"}, {"role": "user", "content": "Oh yeah I just needed a refresher, I havent messed with trig since high school. Can you get a job with trigonometry? "}, {"role": "assistant", "content": "Yup its easy to forget without practice. You can jobs in engineering, music and acoustics, astronomy, ecology, and biology!"}, {"role": "user", "content": "Wow really? Id love to get a job in music with trigonometry, But Id think itd be hard. Who invented trig anyways? "}, {"role": "assistant", "content": "We don't know the exact inventor but we do know that it emerged in the Hellenistic world during the 3rd century BC"}, {"role": "user", "content": "Wow its that old! thats pretty wild, I really need to brush up on my trig, Any other tips on trig that I should know? "}]