In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...

Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions...

are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen definition...

earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied...

Inverse trigonometric functions Logarithmic identities Summation identities Vector calculus identities List of inequalities List of set identities and relations –...

section contains the most basic ones; for more identities, see List of trigonometric identities. These identities may be proved geometrically from the unit-circle...

In trigonometry, it is common to use mnemonics to help remember trigonometric identities and the relationships between the various trigonometric functions...

function is replaced with a trigonometric one. Trigonometric identities may help simplify the answer. Like other methods of integration by substitution...

is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions...

differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect...

Covariance List of trigonometric identities Hall, Arthur Graham; Frink, Fred Goodrich (January 1909). "Chapter II. The Acute Angle [10] Functions of complementary...

how many times one number contains another Trigonometry Trigonometric functions Trigonometric identities Euler's formula Archimedes Aristarchus Aryabhata...

following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse trigonometric functions. For a complete list of integral...

by zero). For angles outside of this range, trigonometric values can be found by applying reflection and shift identities such as sin ⁡ ( 2 π + θ ) = sin...

application of trigonometric tables and generation schemes is for fast Fourier transform (FFT) algorithms, where the same trigonometric function values...

Generalized trigonometry Hyperbolic function Lemniscate elliptic functions Law of sines List of periodic functions List of trigonometric identities Madhava...

functions List of integrals of inverse trigonometric functions List of trigonometric identities Trigonometric function Trigonometric functions of matrices...

mathematical identities are relatively simple (for an experienced mathematician), though not necessarily unimportant. Trivial logarithmic identities are: By...

many identities, all of them similar in form to the trigonometric identities. In fact, Osborn's rule states that one can convert any trigonometric identity...

R sin(x−α) (see List of trigonometric identities). The concept of parent function is less clear for polynomials of higher power because of the extra turning...

a trigonometric way) that are equivalent to specific trigonometric laws or formulas. For instance, propositions twelve and thirteen of book two of the...

Spherical trigonometry Trigonometric functions Trigonometric substitution Trigonometric tables Trigonometry Uses of trigonometry De Finetti diagram Triangle...

List of curves List of curves topics List of trigonometric identities List of basic mathematics topics List of mathematics articles Table of mathematical...

volume List of surface area formulas – Measure of a two-dimensional surface List of trigonometric identities – Equalities that involve trigonometric functions...

The following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)}...

derivative of the variable in question. Since (see Chain Rule and List of trigonometric identities) x ˙ 1 = θ ˙ 1 ( l 2 cos ⁡ θ 1 ) → x ˙ 1 2 = θ ˙ 1 2 ( l 2...

for multivariable calculus Trigonometric functions – Functions of an angle Vector calculus identities – Mathematical identities Calculus (5th edition), F...

traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations...

of sin(x) and cos(x), a trigonometric polynomial becomes a polynomial in the two variables sin(x) and cos(x) (using List of trigonometric identities#Multiple-angle...

In trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half...