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Learn about the equalities that involve trigonometric functions and are true for every value of the variables. Find the Pythagorean, reciprocal, reflection, shift, periodicity, angle sum and difference, and Ptolemy identities with examples and proofs.
Learn about the inverse functions of sine, cosine, tangent, cotangent, secant, and cosecant, and how to use them to obtain an angle from any of the angle's trigonometric ratios. Find out the notation, domains, ranges, and properties of the inverse trigonometric functions, and their applications in engineering, navigation, physics, and geometry.
Learn how to solve quadratic equations using the quadratic formula, a closed-form expression that describes the roots of a quadratic function. Explore different methods of deriving the formula, such as completing the square, substitution, and Lagrange resolvents.
The Lambert W function is a multivalued function that is the converse of the function f(w) = wew, where w is any complex number and ew is the exponential function. It has various applications in mathematics, physics, engineering, neuroimaging, and other fields.
AOL Mail offers secure and personalized email with features like AOL Mail, news, and weather for free. You can also access your email on the go with an iOS & Android app and get help from experts.
The Euclidean norm is a norm on a vector space that measures the length or distance of a vector from the origin. It is defined as the square root of the inner product of a vector with itself, or as the sum of the absolute values of the components of a vector.
Raycon has an amazing selection of best selling earbuds, headphones and more which rival the most popular brands — but best of all, they’re significantly less expensive.
The Fibonacci sequence is a sequence of numbers where each number is the sum of the two preceding ones. Learn how it was first described in Indian mathematics and introduced to Western Europe by Fibonacci, and how it relates to the golden ratio and other topics.