Examples of using Trigonometric functions in English and their translations into Russian
{-}
-
Official
-
Colloquial
Trigonometric functions.
There are six basic trigonometric functions.
Other trigonometric functions are expressed through the sine, cosine and arctangent.
Operations over inverse trigonometric functions.
Inverse trigonometric functions are multiple-valued because trigonometric functions are periodic.
A similar symbolic relation holds for the other trigonometric functions.
Mathematical and trigonometric functions are included in MQL4.
Integration of rational, irrational, trigonometric functions.
The trigonometric functions for acute angles can be defined as ratios of the sides of a right triangle.
Integration of rational fractions,irrational and trigonometric functions.
It connects trigonometric functions with exponential functions in the complex plane via Euler's formula.
Solving equations andinequalities containing inverse trigonometric functions.
Other types of curves,such as trigonometric functions(such as sine and cosine), may also be used, in certain cases.
It has a parametric representation using trigonometric functions.
The trigonometric functions(especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential equations.
The utility supports simple equations as well as complicated trigonometric functions.
These include the 30-60-90 triangle which can be used to evaluate the trigonometric functions for any multiple of π/6, and the 45-45-90 triangle which can be used to evaluate the trigonometric functions for any multiple of π/4.
Identical transformations of the expressions containing inverse trigonometric functions.
Simple recursive formula, which can be used to generate a sine wave without need to call trigonometric functions from the library, which by the way, will run slower at times comparing to the proposed method.
These following is a list of integrals(antiderivative functions) of trigonometric functions.
Dina Yessirkegenova, Methodology for teaching high school students the topic"Inverse trigonometric functions", Bachelor, Suleyman Demirel University.
A comparison of the curves of the functions A(x) and C(x), B(x), and D(x) reveals an unusual phenomenon of their infinite mutual intersection(in the absence of inflections),conjugated with the periodicity of trigonometric functions.
Other examples of nonlinear functions include exponential functions, logarithmic functions, trigonometric functions, power functions, Gaussian function, and Lorenz curves.
Divide the irregular polygon in shape, the parameters of which you are aware of, andthe area you can easily find using the most common formulas and trigonometric functions.
Other types of curves, such as conic sections(circular, elliptical, parabolic, andhyperbolic arcs) or trigonometric functions(such as sine and cosine), may also be used.
Math object allows calculating values of common mathematic and trigonometric functions.
Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier,who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer.
There are many functions whose antiderivatives, even though they exist, cannot be expressed in terms of elementary functions like polynomials, exponential functions, logarithms, trigonometric functions, inverse trigonometric functions and their combinations.
A multiplication took 6 seconds,a division took 15.3 seconds, and a logarithm or a trigonometric function took over one minute.
Let y f( x){\displaystyle y=f(x)} be an elementary Transcendental function, that is the exponential function, or a trigonometric function, or an elementary algebraic function, or their superposition, or their inverse, or a superposition of the inverses.