All About Trigonometry
What is Trigonometry?
Trigonometry studies the relations in Mathematics that include lengths, heights, and angles of several triangles. Trigonometry is concerning right-angled triangles, wherever one of the internal angles is 90°. It is a practice that helps us to work out missing side lengths or angles in a triangle. It plays an important role in many careers like engineering, design and architecture, and other fields.
Who first invented trigonometry?
Trigonometry in the modern sense originated with the Greeks. Hipparchus (c. 190–120 BCE) was the first to construct a table of values for a trigonometric function. He is known as the “Father of trigonometry.”
How were the six trigonometric functions named?
That’s a very complicated question to answer concisely and precisely. The naming of these trigonometric functions is dependant on many different variables, including the author’s preference for name lettering (e.g., “sine” is one possible transliteration from ancient Egyptian) and location or usage of the function in geometry, mathematics, medicine, music theory, etc. Roman numerals are another source for names; they emerged around 500 BC to denote ratios in music scales. One system used today which may be helpful is what Rodolfo Abetti called “the alphabetical order.”
Functions Of Trigonometry
A trigonometric function returns sin, cos, tan, etc either a degree or radian value. The six trigonometric functions are sin, cos, tan, CSC, sec, and cot. These functions allow you to find missing sides of triangles.
Uses Of Trigonometry
Trigonometry primarily can be used to solve right triangles. It’s a tool that allows you to calculate the lengths of the sides of the triangle so you can find unknown angles or vice versa. Here are some examples of things trigonometry is used for:
1) The roof pitch in construction and architecture.
2) Optical lens design
3) Calculation of astronomical phenomena
4) Musical scales
5) Determining economic value with real-estate investment
6) Predicting tides
7) Geometrical latitudes
8 ) Navigation on planes
9 ) Mathematical problem solving
10 ) Data collection from complex systems (e.g., computations in meteorology, hydrology, oceanography, seismology, astronomy).
Trigonometry is an application of mathematics in a variety of contexts, from the measurement of angles up to predictions about how objects (‘spaceships’) will move. Trigonometric functions are used to cover all types of trigonometric graphs and plots. How do you use Trigonometry? Surely examples are needed! Well, if it helps, think of it this way: any time there is a right triangle (with an angle), the sine rule is always at play — like when you measure things in degrees or parts per hundredths. The three most important forms today are circular measurements (radius equal to diameter for both circles).
