Reference Terms
from Wikipedia, the free encyclopedia
Trigonometry
Trigonometry is a branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right triangles). Triangles on a sphere are also studied, in spherical trigonometry. Trigonometry specifically deals with the relationships between the sides and the angles of triangles, that is, the trigonometric functions, and with calculations based on these functions.
Trigonometry has important applications in many branches of pure mathematics as well as of applied mathematics and, consequently, much of science and precalculus. For example, the robotic arm on the International Space Station is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end of the arm requires repeated use of the trigonometric functions of those angles.
Related Stories
1
2
Computers & Math News
November 13, 2025
Nov. 13, 2025 — Scientists have developed a new way to build rare-earth crystals that boosts quantum coherence to tens of milliseconds. This leap could extend quantum communication distances from city blocks to entire continents. The method uses atom-by-atom ...
Nov. 11, 2025 — UC Santa Barbara physicists have engineered entangled spin systems in diamond that surpass classical sensing limits through quantum squeezing. Their breakthrough enables next-generation quantum sensors that are powerful, compact, and ready for ...
Nov. 11, 2025 — Scientists at EPFL have unraveled the mystery behind why biological nanopores, tiny molecular holes used in both nature and biotechnology, sometimes behave unpredictably. By experimenting with engineered versions of the bacterial pore aerolysin, ...
Nov. 9, 2025 — Stanford scientists found that strontium titanate improves its performance when frozen to near absolute zero, showing extraordinary optical and mechanical behavior. Its nonlinear and piezoelectric ...
Nov. 5, 2025 — USC researchers built artificial neurons that replicate real brain processes using ion-based diffusive memristors. These devices emulate how neurons use chemicals to transmit and process signals, offering massive energy and size advantages. The ...
Nov. 5, 2025 — Engineers at the University of Delaware have uncovered a way to bridge magnetism and electricity through magnons—tiny waves that carry information without electrical current. These magnetic waves can generate measurable electric signals within ...
Nov. 2, 2025 — Scientists have achieved a breakthrough in light manipulation by using topological insulators to generate both even and odd terahertz frequencies through high-order harmonic generation (HHG). By embedding these exotic materials into nanostructured ...
Nov. 1, 2025 — More screen time among children and teens is linked to higher risks of heart and metabolic problems, particularly when combined with insufficient sleep. Danish researchers discovered a measurable rise in cardiometabolic risk scores and a metabolic ...
Oct. 30, 2025 — Scientists have developed a groundbreaking tool called Effort.jl that lets them simulate the structure of the universe using just a laptop. The team created a system that dramatically speeds up how researchers study cosmic data, turning what once ...
Oct. 28, 2025 — ETH Zurich scientists have created “MetaGraph,” a revolutionary DNA search engine that functions like Google for genetic data. By compressing global genomic datasets by a factor of 300, it allows researchers to search trillions of DNA and RNA ...
Oct. 28, 2025 — Researchers at Tsinghua University developed the Optical Feature Extraction Engine (OFE2), an optical engine that processes data at 12.5 GHz using light rather than electricity. Its integrated diffraction and data preparation modules enable ...
Oct. 27, 2025 — Two Sydney PhD students have pulled off a remarkable space science feat from Earth—using AI-driven software to correct image blurring in NASA’s James Webb Space Telescope. Their innovation, called AMIGO, fixed distortions in the telescope’s ...
Latest Headlines
updated 12:56 pm ET
Nov. 9, 2025 — New supercomputer simulations hint that dark energy might be dynamic, not constant, subtly reshaping the Universe’s structure. The findings align with recent DESI observations, offering the ...
Oct. 26, 2025 — Life’s origin story just became even more mysterious. Using mathematics and information theory, Robert G. Endres of Imperial College London found that the spontaneous emergence of life from ...
Oct. 26, 2025 — Scientists have found that mushrooms can act as organic memory devices, mimicking neural activity while consuming minimal power. The Ohio State team grew and trained shiitake fungi to perform like ...
Oct. 22, 2025 — A wireless eye implant developed at Stanford Medicine has restored reading ability to people with advanced macular degeneration. The PRIMA chip works with smart glasses to replace lost photoreceptors ...
Oct. 22, 2025 — Researchers at the University of Surrey developed an AI that predicts what a person’s knee X-ray will look like in a year, helping track osteoarthritis progression. The tool provides both a visual ...
Oct. 16, 2025 — Auburn scientists have designed new materials that manipulate free electrons to unlock groundbreaking applications. These “Surface Immobilized Electrides” could power future quantum computers or ...
Oct. 14, 2025 — UMass Amherst engineers have built an artificial neuron powered by bacterial protein nanowires that functions like a real one, but at extremely low voltage. This allows for seamless communication ...
Oct. 13, 2025 — A team of international physicists has brought Bayes’ centuries-old probability rule into the quantum world. By applying the “principle of minimum change” — updating beliefs as little as ...
Oct. 13, 2025 — Vast amounts of valuable research data remain unused, trapped in labs or lost to time. Frontiers aims to change that with FAIR² Data Management, a groundbreaking AI-driven system that makes datasets ...
Oct. 12, 2025 — A team at the University at Buffalo has made it possible to simulate complex quantum systems without needing a supercomputer. By expanding the truncated Wigner approximation, they’ve created an ...