What is the importance of trignometry?

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The first serious application of language to the physical world. It created Euclidean space.

Trig" is very important to higher mathematics although it is usually taught in middle school. Advanced Trig is for really smart people or people with a penchant for math. The Greeks used Trif to determine the elevation of really high objects 3000 years ago just before some German invented satellites to shoot infrared beams at Everest from 100 miles up to determine it's exact height.

Them Greeks, and to think, most of their population were as dumb as most of us. Go figure! .

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Directly, trig is applied to a lot of engineering. Whenever you have parts that have to be of specific lengths or specific angles or curves, you use trig. Trig is also a critical precursor to calculus, which is the mathematics of curves.

You can't do any real physical science without trig-based curves (sines, cosines, and the natural logarithm). Calculus is also fundamental to statistics, which is based around various curves and pieces of curves. People not going into a science or engineering field will really get little out of trig, and I'd just as soon it be replaced with a more practical class.

But if you're ever planning to go into any sort of even slightly technical field, trig is a critical step on the path.

You can measure very large things without having to crawl all over them or climb them with a measuring stick.

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