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The following groups of sticks can form a triangle.
The following groups of sticks can form a triangle, as shown below:

B, 2 cm, 2 cm, 3 cm will do.

The sum of any two sides of a triangle is greater than the third side.

triangle

Triangle is a closed figure composed of three line segments on the same plane but not on the same straight line, which has applications in mathematics and architecture.

Ordinary triangles are divided into ordinary triangles (three sides are unequal) and isosceles triangles (isosceles triangles with unequal waist and bottom and isosceles triangles with equal waist and bottom, that is, equilateral triangles); According to the angle, there are right triangle, acute triangle and obtuse triangle, among which acute triangle and obtuse triangle are collectively called oblique triangle.

Triangular interpolation

Triangular interpolation is one of the commonly used interpolation methods, which means that the interpolation function is a trigonometric polynomial. It is especially suitable for the interpolation of periodic functions. Let the interpolation function f(x) be a function with a period of 2-2, and take an n-order trigonometric polynomial, and call the above formula Gaussian trigonometric interpolation formula.

trigonometric polynomial

Mathematically, trigonometric polynomial is a function based on trigonometric function. Trigonometric polynomial is a function that can be expressed as the sum of finite sine function sin(nx) and cosine function cos(nx), where x is a variable and n is a natural number. The coefficient of each term in a trigonometric polynomial can be a real number or a complex number.

If the coefficient is a complex number, then this trigonometric polynomial is a Fourier series. Trigonometric polynomials have applications in many branches of mathematics, such as mathematical analysis and numerical analysis. For example, in Fourier analysis, trigonometric polynomials are used to represent Fourier series, and in trigonometric interpolation, trigonometric polynomials are used to approximate periodic functions.

Triangle equation

Generally, it refers to a set of equations with some trigonometric functions, and the independent variables of these trigonometric functions contain unknowns. Equations with trigonometric functions of unknown quantities are called trigonometric equations. The real value of an unknown (which can be understood as the radian number of an angle) suitable for the equation is called a solution of the trigonometric equation; The set of real values suitable for the unknown of the equation is called the general solution of the triangular equation.

trigonometric function

Trigonometric function is one of the basic elementary functions, which takes the angle (the most commonly used radian system in mathematics, the same below) as the independent variable, and the angle corresponds to the coordinates where the terminal edge of any angle intersects with the unit circle or its ratio as the dependent variable. It can also be equivalently defined as the lengths of various line segments related to the unit circle. Trigonometric function plays an important role in studying the properties of geometric shapes such as triangles and circles, and is also a basic mathematical tool for studying periodic phenomena.

In mathematical analysis, trigonometric function is also defined as the solution of infinite series or specific differential equation, which allows its value to be extended to any real value or even complex value. Common trigonometric functions are sine function, cosine function and tangent function. Other trigonometric functions, such as cotangent function, secant function, cotangent function, dyadic function, cofactor function, semidyadic function and semifactorial function, are also used in other disciplines, such as navigation, surveying and engineering.

The relationship between different trigonometric functions can be obtained by geometric intuition or calculation, which is called trigonometric identity. Trigonometric functions are generally used to calculate the sides and angles of triangles with unknown lengths, and are widely used in navigation, engineering and physics. In addition, taking trigonometric functions as templates, we can define a class of similar functions, which are called hyperbolic functions. Common hyperbolic functions are also called hyperbolic sine functions, hyperbolic cosine function and so on. Trigonometric function (also called circular function) is a function of angle;

They are very important in studying triangles, simulating periodic phenomena and many other applications. Trigonometric function is usually defined as the ratio of two sides of a right triangle containing this angle, and it can also be equivalently defined as the lengths of various line segments on the unit circle. More modern definitions express them as infinite series or solutions of specific differential equations, allowing them to be extended to any positive and negative values, even complex values.