It may come as a surprise to you to learn that trigonometry can also be used in criminology. The most important thing that trigonometry has to offer this field is its ability to calculate a projectile’s trajectory through the air. Other important uses of trigonometry in criminology are the estimations it can provide as to might have caused a car crash or how an object fell from somewhere else. Can also be used to determine at which angle a bullet has been shot.

Trigonometry in science, navigate marine vessels, mental math

All of these uses can provide much needed evidence for police and detectives and can also be used for virtually anyone who wishes to know details on cases.

Marine biology

Another field in which trigonometry is often used that may also come as a surprise to you is marine biology. For example, one of the most common uses of this within this field is the acquisition of knowledge as to how a level of light affects the ability of algae to photosynthesize. Marine biologists are also known to use mathematical models to measure and analyze marine animals and their behaviors. In addition to these uses, marine biologists also use to determine the sizes of larger animals from distances.

Marine engineering

In addition to marine biology, trigonometry is also very useful in marine engineering. In this field is often used to first build and then navigate marine vessels. Specifically can be used to create what is commonly known as the “marine arch”, which is a sloping surface that connects higher level areas with lower ones. This forms a triangle, the components of which can be determined by alone.


Another field in which is commonly used is in archaeology. Archaeologists often use to divide their excavation sites into smaller parts. They can also use o determine their excavation procedures based on how far they need to dig down to find what they are looking for based on how old what they are looking for is. They also tend to use to find out the distance they are from nearby sources of water.

While has developed dramatically over the course of its lifetimes, there are a few principles from its inception which are still as valid as ever today. If you were to look back at virtually all of the notable inventions produced since the industrial revolution, you would be hard pressed to find one that does not owe, at least in some measure, its existence to trigonometry. One of the biggest breakthroughs in the history of trigonometry, however, was discovered by Galileo.


Another practice commonly used is what is known as surveying. One method of doing this is called triangulation which was first suggested by a mathematician by the name of Gemma Frisius. In this method, a person chooses a baseline of a known length, and from this line’s endpoints, the angles from it to more remote objects are then measured. This can be done with basic, elementary trigonometry.

This usually repeated with multiple baselines until the entire area that is being studied is laid out in terms of triangles and their angles. It was a mathematician by the name of Willebrord Snell who first carried out this method on a large scale when he surveyed with 33 triangles an 80 mile stretch of land in Holland.

An even more ambitious survey was then carried out by a French astronaut by the name of Jean Picard, who triangulated the entire nation of France. After that, a yet more ambitious survey was carried out; the entire subcontinent of India was triangulated between the years of 1800 to 1913.

Now that we have gone over some of the everyday uses of trigonometry as well as some of its history, it would be beneficial to go over some of the most basic aspects of making trigonometric calculations.

Mental math is always a great skill to have no matter what profession you have or what your greater interests are in life. Developing skills in mental math will be very beneficial in your everyday functioning. Do not give yourself the impression that there is no room to improve on your mental math skills from here.

The next step in your education beyond finishing this book would be to look into other materials on this subject. There are a lot out there and they will all get you even closer to becoming a true math whiz.