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In that aspect of the 2x angle, the product sum difference (and the difference product) or the sine and cosine, etc.
Let the angle be , i.e., (0,90) to know the hypotenuse a, the opposite side b, the adjacent edge c, (a*a=b*b+c*c), sin = b a, cos = c a
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Complete junior trigonometric values.
The table is shown in the following figure:
Common trigonometric functions include sinusoidal functions.
Cosine and tangent functions.
In other disciplines such as navigation, surveying and mapping, engineering, etc., cotangent functions are also used.
Secant function, secant function, regular vector function, cosagittal function, semi-regular vector function, semi-cosagittal function, semi-cosagittal function, and other trigonometric functions are excavated. The relationship between different trigonometric functions can be determined by geometrical intuition, or by calculation, and is called trigonometric identities.
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The trigonometric function table is as follows:
The numerical family nature of trigonometric functions is the mapping between a set of angles of any angle and a set of variables of a ratio. The usual trigonometric functions are defined in a planar Cartesian coordinate system. The domain is defined as a field of real numbers.
Another definition is in a right triangle, but not completely. Modern mathematics describes them as the limits of an infinite series of numbers and the solution of differential equations, extending their definition to complex numbers.
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Summary. Commonly used trigonometric functions refer to the following charts.
Commonly used trigonometric functions refer to the following charts.
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The trigonometric function value table is shown below
Trigonometric functions are a class of functions in mathematics that belong to the transcendental functions of elementary functions. Their essence is a mapping between a set of arbitrary angles and a set of variables with a ratio. The usual trigonometric balance is defined in a planar Cartesian coordinate system, which is defined by the entire field of real numbers.
Another definition is in a right triangle, but not completely.
Common trigonometric functionsCommon trigonometric functions include sine, cosine, and tangent. In other disciplines such as navigation, surveying and mapping, and engineering, other trigonometric functions such as cotangent function, secant function, cosecant function, sagittal function, cosagittal function, semi-sagittal function, semi-cosagittal function, and other trigonometric functions are also used. The relationship between different trigonometric functions can be geometrically intuitively or calculated to derive a rolling calendar, called a trigonometric identity.
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The table of trigonometric values is as followsThe formula for the sum of the product is as follows: sin ·cos = (1 2)*[sin( +sin( -cos ·sin =(1 2)*[sin( +sin( -cos ·cos =(1 2)*[cos( +cos( -sin ·sin =-1 2)*[cos( +cos( +cos( -
The formula of the differential product of the auspicious calendar: sin +sin =2sin[( 2]·cos[( 2]; sinα-sinβ=2cos[(α2]·sin[(α2];cosα+cosβ=2cos[(α2]·cos[(α2];cosα-cosβ=-2sin[(α2]·sin[(α2]。
Trigonometric relationship between the sum and the difference of two angles: sin( +sin cos +cos sin ; sin(α-sinαcosβ-cosαsinβ;cos(α+cosαcosβ-sinαsinβ;cos(α-cosαcosβ+sinαsinβ;tan(α+tanα+tanβ)/1-tanα·tanβ);tan(α-tanα-tanβ)/1+tanα·tanβ)。
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1. Equation 1: Let the value of the same trigonometric function of the same angle with the same end edge be equal to sin(2k + sin (k z). (2)cos(2kπ+αcosα(k∈z)。
3)tan(2kπ+αtanα(k∈z)cot(2kπ+αcotα(k∈z)。2. Equation 2: Set the relationship between the trigonometric value of +, and the trigonometric value of .
1) Punch slippery sin ( +sin.
Trigonometric functions (also called"Circular functions") is a function of angles; They are important in studying triangle and loose wax modeling, periodic phenomena, and many other applications. Trigonometric function is usually defined as the ratio of the two sides of a right triangle containing this angle, and can also be defined equivalently as the length of various line segments on a unit circle.
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The trigonometric function table is as follows:
The essence of trigonometric functions is the mapping between variables of a set of any angular number of relatives and a set of ratios. The usual trigonometric functions are defined in a planar Cartesian coordinate system. It defines the entire field of real numbers.
Another definition is in a right triangle, but not completely. Modern mathematics describes them as the limits of infinite numbers and the solution of differential equations, extending their definition to complex numbers.
Using sina + sinb = 2 sin((a+b) 2)cos((a-b) 2
sin(7c)-sin(5c)=sin(7c)+sin(-5c)=sinc >>>More
Next to the trigonometric function sail are: sine function, cosine function, tangent function, cotangent function, secant function, cosecant function rollover, and the positive and negative cases of each quadrant are as follows: (the format is "quadrant" or -"). >>>More
It is impossible to get a fixed triangle by knowing only one corner and one side, and only by knowing three sides or two corners can a triangle be established, and then it can be solved by the cosine theorem or the sine theorem. Trigonometric functions are generally used to calculate the edges of unknown lengths and unknown angles in triangles, and have a wide range of uses in navigation, engineering, and physics. >>>More
3.Solution: tan(a+b)=(tana+tanb) (1-tanatanb).
tan∏/4=(tana+tanb)/(1-tanatanb)1=(tana+tanb)/(1-tanatanb)tana+tanb=1-tanatanb >>>More
Right triangle definition.
It has six basic functions (elementary basic representations): a table of trigonometric numerical functions (r, y, and x. In the planar Cartesian coordinate system xoy, a ray op is drawn from the point o, let the rotation angle be , let op=r, and the coordinates of the p point are (x,y) with the sine function sin =y r sine (sin): >>>More