Learn the different reciprocal identities in trigonometry together with other fundamental identities such as Pythagorean and quotient identities. This article includes several examples that can help in understanding the trig reciprocal identities.
Learn how to apply sum and difference formulas in solving trigonometric equations. This article also includes the definition of sum and difference identities, proofs, and examples with solutions.
Learn how to solve problems about similar polygons using the concepts of ratio of areas, perimeters, side lengths, diagonals, and angle bisectors. This article also includes practice problems with solutions and answers that will help gauge understanding of the topic.
You keep pulling socks out of a messy drawer, desperately trying to find a matching pair, but all you seem to get are odd socks. How many socks will you need to pull out of the drawer in order to be guaranteed a matching pair? Find out in this quick mathematics article.
Researchers have recently sequenced part of the genome of the extinct dire wolf. The animal was once common and was about twenty percent larger than the gray wolf.
Learn how to solve mutually inclusive events in probability by going through the examples written in this article.
Learn how to use the triangle proportionality theorem to complete triangle proportions, solve word problems, and find the value of the missing sides of a triangle. This article includes the triangle proportionality theorem proof and examples that can help you fully gauge your understanding of it.
Analysis of using cryptocurrency blockchain technology to ensure the accuracy of election results. Is it feasible?
A look at how using the difference of two squares can speed up your mental arithmetic with large numbers
It's common knowledge that the square root of two is an irrational number, but how can we prove it? Find out in this quick mathematics article.
Unlike other primates, the fat-tailed dwarf lemur hibernates in winter. Studying this behaviour might be useful for enabling long-distance space travel in humans.
Learn how to rationalise the denominator in this quick high school mathematics article.
Catnip contains a chemical called nepetalactone. This repels mosquitoes by affecting their TRPA1 channels. We contain these channels as well, but catnip doesn’t affect them.
When learning about surds/radicals at school, we are always told to rationalise the denominator. But what does this mean and why do we do it? Find out why in this quick mathematics article.
Surely you have heard of them all, right? Sometimes though there are new ones, hidden within old ones...
Amazing technological textiles has been a science fiction trope for years. But now, it is entering reality and in some surprising applications …
New propulsion methods are needed if we are to explore outer space in a timely - and cost-effective - manner. But does this drive violate physics?
Two criminals have been arrested for a crime, but the police don't have enough evidence to convict. They offer each criminal the chance to reduce their sentence by testifying against the other, but is this the best option? Find out in this quick math article.
SARS-CoV-2 causes the COVID-19 disease. Spike proteins and glycans enable the virus to infect us and are research targets for the creation of vaccines and medicines.
The village of Smallville and the Intergalactic Gods have both had five metres of boundary rope stolen from their circular cricket pitches. They have vastly different sized pitches, so whose pitch will reduce in radius the most?
Alan has the best scoring average in the first half of the basketball season and the best scoring average for the second half of the season, but when everything is tallied together he finds that it is Brian who has the highest average over the season. Find out how in this quick math article.
This article will provide a look at Hilbert's Paradox of the Grand Hotel, also known as the 'Infinite Hotel Paradox'. Find out how to fit extra guests into the infinite hotel, even when every room is occupied!
This article has what you need to know about the amazing rare beetle that is the official state insect of Rhode Island
Learn how to evaluate and simplify the limits of indeterminate forms using L'Hopital's Rule. This article includes L'Hopital's Rule Proof, when to use it, and examples with solutions about finding the limit of various functions.
This article has what you need to know about the beautiful Sandia hairstreak butterfly, Callophrys mcfarlandi, including its food plants and early forms.
This article includes problems with solutions teaching how to convert rectangular to cylindrical coordinates and vice versa, identify the surfaces in the cylindrical coordinate system, and find a cylindrical equation of three-dimensional spaces.
Learn how to use the Divergence Test in determining the convergence or divergence of a series.
Learn how to solve the derivative of constant times a function through a step-by-step Constant Multiple Rule method.
Learn how to solve problems about cofunction identities in trigonometry. This article also includes formulas, proofs, and examples with solutions that can help you fully apply the cofunction trigonometric identities.
This article has what you need to know about the beautiful Spicebush swallowtail butterfly (Papilio troilus), including its food plants and early forms.
Some mistakes carry more weight than others. But in physics, even a small level of imprecision can change the picture completely...
The definition of the term "native plant" can seem very complicated, but there are some elements that help to keep it simple. The "official" definitions of native plants that come from official agencies all seem to have three basic elements in common.
Learn how to find the linear approximation or differentials of a function at a given point. This article also includes formulas, proof, and examples with solutions that can help you fully understand the Linear Approximation topic in Calculus.
Have you ever wondered how a beetle flies? After all, these insects come in many varied shapes and sizes, and they look far from being built for effective flight. We usually see these creatures scurrying along the ground or rummaging among the undergrowth where they seem more at home.
This article examines the fearsome and deadly snake known as the Egyptian cobra. The snake's behavioral patterns, venom toxicity (in relation to humans), habitat, reproduction, and general characteristics are discussed at length.