What are the common trigonometric values?
The common trigonometric function values are as follows: trigonometric functions have more important applications in complex numbers. In physics, trigonometric functions are also commonly used tools. Six basic functions: function name, sine, cosine, tangent, cotangent, secant, cosecant. Symbols for the six basic functions: sin, cos, tan, cot, sec, csc. 1, sine function: sin(A)=a/c. 2, cosine function: cos(A)=b/c. 3, tangent function: tan(A)=a/b. 4, cotangent function: cot(A)=b/a. where a is the opposite side, b is the critical side, and c is the hypotenuse. Trigonometric functions may seem a lot, it is very complicated, but as long as you master the essence of trigonometric functions and internal laws will find that trigonometric functions between the various formulas have a powerful connection. And mastering the internal laws and essence of trigonometric functions is also the key to learning trigonometric functions. Trigonometric function value: trigonometric function value (trigonometricfunction) is a class of functions in mathematics belonging to the primary function of the transcendental function. Its essence is a set of arbitrary angles and a ratio of the set of variables between the mapping. Trigonometric functions have more important applications in complex numbers. Trigonometric functions are also commonly used in physics. Remember[usseg.com.cn]
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What are the common trigonometric values?
1, sin(-α)=-sinα
2, cos(-α)=cosα
3, sin(π/2-α)=cosα
4, cos(π/2-α)=sinα
5, sin(π/2+α)=cosα
6, cos(π /2 + α) = -sinα
7. sin(π-α) = sinα
8. cos(π-α) = -cosα
9. sin(π + α) = -sinα
10. tanα = sinα/cosα
11. tan(π/2 + α) = -cotα
12, tan(π/2-α) = cotα
13, tan(π-α) = -tanα
14, tan(π + α) = tanα
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Extended information:
Commonly used sum angle formulas
1, sin(α+β)=sinαcosβ+sinβcosα
2, sin(α-β)=sinαcosβ-sinB*cosα
3, cos(α+β)=cosαcosβ-sinα sinβ
4. cos(α-β)=cosαcosβ+sinαsinβ
5. tan(α+β)=(tanα+tanβ)/(1-tanαtanβ)
What are the complete trigonometric values for high school?
The complete trigonometric function values are as follows:
Trigonometric functions are essentially mappings between any set of angles and a set of variables of a ratio. The usual trigonometric functions are defined in the plane rectangular coordinate system. Its domain of definition is the entire domain of real numbers. Another definition is in right triangles, but not exactly. Modern mathematics describes them as limits of infinite series and solutions of differential equations, extending their definition to the complex number system.
Origin of trigonometric functions:
The word sine (sine) began with the Arab Reki Omontan. He was a leading figure in fifteenth-century mathematics in Western Europe, and his work, On Various Triangles, completed in 1464 and released beginning in 1533, was a purely trigonometric book that took trigonometry out of astronomy and made it independent as a mathematical subdiscipline.
Cosine and cotangent were first used by the Englishman Genzel, and first appeared in his Artillery Surveys, published in London in 1620.
Secant and tangent were first used by the Danish mathematician Thomas Fink in his book Geometry of the Circle.
The term cosecant was coined by Rheticus. It first appeared in his 1596 book “The Court Music”.In 1626, Abelt Glod first introduced the abbreviated trigonometric symbols: “sin”, “tan”, “sec “.
In 1675, the Englishman Auchter first introduced the remaining abbreviated trigonometric symbols: “cos,” “cot,” and “csc.” But it wasn’t until 1748, after references by the mathematician Euler, that they were gradually generalized.
From 1949 to the present, due to the influence of the former Soviet Union textbooks, China’s mathematical books, “cot” to “ctg”; “tan” to “tg”, the other four symbols remain unchanged. This is why the popular imported function calculators on our market have “tan” and no “tg” button.
Refer to Baidu Encyclopedia-Trigonometric Functions for the above content
High school physics commonly used trigonometric value table
sin37°=cos53°=0.6, cos37°=sin53°=0.8, tan37° their own derivation
There are 30 °, 60 °, 45 ° sine cosine tangent is commonly used in junior high school math, drawing a triangle can be solved, I do not go into details
The formal examination will basically give the value or directly give you a θ, and then let you use sinθ and so on. The formal examination will basically give the value, or directly give you a θ, and then let you use sinθ and so on to express the OK
Note: 37 ° and 53 ° of the value of these values are approximations, because the physics of the topic is often used to write down the physical test can be used casually. But if it is a math test encounter, no special instructions or do not use in the math test!
Table of common trigonometric values?
The Table of Common Trigonometric Values is a table listing the values of the classical trigonometric functions (sine, cosine, and tangent) at specific angles. Here is a simplified trigonometric value table:
Angle (degrees)|sine|cosine|tangent
——————————–
0|0|1|0
30|1/2|√3/2|√3/3
45|√2/2| √2/2|1
60|√3/2|1/2|√3
90|1|0|infinity
For other angles, the corresponding values can be obtained by calculating or using a trigonometry calculator. This table only lists values for some common angles, but the trigonometric functions are actually continuous and can be used over the entire range of angles. Note that angles are usually expressed in degrees, but in some cases they can be expressed in radians.
In addition, trigonometric functions have inverse functions, namely inverse chord, inverse cosine, and inverse tangent, which can be computed to obtain the corresponding angle at specific values. The calculation of these functions usually requires the use of a calculator or math software.