Trigonometry – Natural sciences – Mathematic

We explain trigonometry, a little history about this branch of mathematics, and the most important concepts it uses.

What is Trigonometry?

According to the word’s etymological meaning, trigonometry is the measurement of triangles (from the Greektrigonalo and metron). Trigonometry is part of mathematical science and is responsible for studying the trigonometric ratios of sine, cosine, tangent, cotangent, secant, and cosecant.

Trigonometry is used where precision measurement is required and applied to geometry; it is unique to a unique study of spheres within spatial geometry; among the most common uses of trigonometryisisisisis measuring distances between stars or geographical points.

A bit of trigonometric history

Already the scholars of ancient Egypt and Babylon were aware of the theorems about the measurement of similar triangles and the proportions of their sides. Babylonian astronomers recorded the movements of the planets and eclipses. Two thousand years before Christ, the Egyptians already used trigonometry in a primitive way to build their pyramids.

The foundations of current trigonometry were developed in Ancient Greece, Indi, and at the hands of Muslim scholars. Scholars of ancient trigonometry were Hipparchus of NicaeaAryabhataa, Varahamihira, Brahmagupta, and  Abu’l-Wafa, among others.

The first use of the sine function dates back to the 8th century BC. C. in India. Who introduced the analytical treatment of trigonometry in Europe was Leonhard Euler. They were then known as “Euler’s formula.”.

They started from the correspondence between the length of the sides of a triangle from the fact that they maintain the same proportion. If a triangle is similar,r, the relationship between the hypotenuse and a leg is constant. If we observe that hypotenusearesis twice the length, the legs will be.

Most essential concepts of trigonometric

Three units are used to measure angles:

The radian. Which is used more than anything in mathematics.
The sexagesimal degree. Most used in everyday life.
The decimal system. Used in surveying and construction.

Trigonometry is defined in certain functions applied in various fields to measure the relationship between the sides and angles of a right triangle or a circumference. These functions are sine, cosine, and tangent. Inverse trigonometric ratios can also be performed: cotangent, secant,t, and cosecant.To carry out these operations,s it is necessary to consider certain concepts. The side opposite the right angle is the hypotenuse (h), the longest side of the triangle. The opposite leg is the one that is on the opposite side to the rise in question,n, while we call the one that is next to it adjacent.

To obtain the sine of a given angle, the length of the opposite leg and that of the hypotenuse must be divided (that is, the opposite leg over the hypotenuse: a/h).
The cosine is obtained from the ratio between the length of the adjacent leg and the hypotenuse (adjacent portion on hypotenuse: a/h).
To obtain the tangent, the length of both legs is divided (that is, the division is made: o/a).
For the cotangent function, the length of the adjacent leg is divided by the opposite leg (understood as a/o).
For the secant function, the length of the hypotenuse on the adjacent leg is related i.e.e: h/a).
Finally, to determine the cosecant function, the hypotenuse length is divided on the opposite leg (thus obtaining: h/o).

Related Posts

Next post Mission – Culture and society – Companies and businesses
Finance management Business development Business strategy Business operations Business management Business growth Business analysis Industry trends Financial analysis Industry insights Industry challenges Manufacturing process Manufacturing industry Manufacturing technologies Parenting Family Journalism Lifestyle blog Current events Breaking news Media coverage Educational trends Scientific community STEM (Science, Technology, Engineering, and Mathematics) Legal support team Legal regulations compliance Intellectual property laws Career success Education software Online learning platforms Civil rights protection Corporate legal compliance Legal guidance blog Cybersecurity Social media marketing Digital transformation Network infrastructure Internet of Things (IoT) Web development Software maintenance Software engineering Mobile apps E-commerce platforms User experience (UX) design User interface (UI) design Responsive web design Artificial intelligence (AI) Car accessories Automotive engineering Car maintenance Adventure travel Car technology Vehicle Automotive trends Automotive industry analysis Car brands Healthy lifestyle Nutrition and wellness Dermatology services Cosmetic procedures Plastic surgery Alternative medicine Fitness exercises Mental health Yoga and meditation Oral health Fashion Women's fashion Skincare routine Wedding flowers Fashion accessories Online fashion community Online shopping Fashion tips Pet Health Services Veterinary Care Shelter and Rescue Home renovation ideas Interior design inspiration Home decor trends mart home technology Real estate market trends Rental property management Gardening and landscaping tips Home remodeling and renovations Moving and packing services Professional home cleaning furniture and accessories Art and design workshops Art and culture events Art festivals and fairs Visual arts and crafts Outdoor adventures Sports events sports Gaming community Outdoor family activities Gastronomy Food tourism Food exploration Vacation Holiday Tourist Attractions Travel destinations Leisure activities Weekend getaway Travel experiences News reporting Residential services Big Data Real estate agent selection Parenting Guides Pool maintenance and cleaning Fashion industry news health shop Data analytics Community Press release zoom news info Parenting Tips & Advice Legal representation Health and wellness tips data macau travel Medical treatmentsschool trips plus uk Legal assistanceParenting Tips puppy love pets uk Automotive manufacturing Exterior home improvement Travel tips Headlines Food culture Automotive industryAutomotive industry Healthcare servicesAutomotive industry tekno gue