How to calculate sin30 degrees, how much is SIN30 degrees

sin30 degrees is equal to one-half. First equilateral triangles.

ABC's three. Horns.

is 60°, draw a bisector from a and bc compared to e, then between the triangle abe and the triangle ace ab ac, ae is the common side, the angle bae angle cae 30°. So the triangle abe and the triangle ace are congruent, then be ec ab 2, the angle aeb angle aec 90°, then the sin angle bae ab be 1 2. That is, sin30° 1 2.

Basic properties: 1. Image: The image is a waveform image (projected from a unit circle to a coordinate system.

derives), which is called the sine curve2, and defines the domain: the set of real numbers r

3. Value range. [-1—1] (Sinusoidal function.

Bounded embodiment).

4. Maximum value and zero point.

Maximum: when x=2k+(2), kz, y(max)=1min: when x=2k+(32), kz, y(min)=-1 zero point: (k, 0), kz

5. Symmetry.

Axis of symmetry: With respect to the straight line x=(2)+k, kz symmetry.

Centrally symmetrical. With respect to the point (k, 0), k z symmetry.

6. Periodicity: minimum positive period: 2

For the above content, please refer to Encyclopedia-sin function.

Half. First of all, we can draw a right-angled triangle, the two acute angles are 30 degrees and 60 degrees respectively, we know that the right-angled side of 30 degrees is half of the hypotenuse, and the meaning of sin is that the opposite side is more hypotenuse than the hypotenuse, so it is one-half.

sin is the ratio of the short side and hypotenuse of a right triangle, which can be clearly calculated in a triangle of 30, 60, and 90 degrees.

In such a triangle, the hypotenuse is twice the length of the short side, i.e., sin30° = 1 2

Draw a 30-degree triangle at right angles, and draw a 60-degree line at the hypotenuse with the right angle as the vertex.

It is concluded that d1 is an isosceles triangle and d2 is an equilateral triangle.

Suppose the edge of d2 is a, and because d1 is the same edge as d2, the edge of d1 is a.

Finally, sin30°=a (a+a)=1 (1+1)=1 2.

Extended Information: Trigonometric Formulas.

1. The relationship between products.

sinαtanα

cos (i.e. sin

cosαtanα

cosαcotα

SIN stands for COS

sinαcotα）

tanαsinα

sec i.e.

tanαsinα

sec) 2. Reciprocal relationship.

tanαcotα

sinαcscα

cosαsecα

3. Business relationship.

sinαcosα

tanαsecα

csc 4, and angle formulas.

sinsinα

cosβcosα

sinβsin

sinαcosβ

cosγcosα

sinβcosγ

cosαcosβ

sinγsinα

sinβsinγ

coscosα

cosβsinβ

sinαtan

tanαtanβ

tanαtanβ

1、sin30°=1/2；sin30=

2、cos30=；cos30°=√3/2

3, Wu hail tan30=; tan30°=√3/34、sin45=；sin45°=√2/2

5、cos45=；cos45°=sin45°=√2/26、tan45=；tan45°=1

7、sin60=；sin60°=√3/2

8、cos60=；cos60°=1/2

9、tan60=；tan60°= cavity forest sail 310, sin90=; sin90°=cos0°=111、cos90=；cos90°=sin0°=012、tan90=；tan90° does not save spring shooting.

1. tan30 degrees: 3 3

2. TAN 45 degrees: 1

3. tan60 degrees: 3

4. tan90 degrees: non-existent.

5. sin30 degrees: 1 2

6. sin45 degrees: 2 2

7. Sin60 degrees: 3 2

8. sin90 degrees: 1

9. COS30 degrees: 3 2

10. Cos45 degrees: 2 2

11. Cos60 degrees: 1 2

12. COS90 degrees: 0

basis: in a right triangle.

, when the three points a, b, and c on the plane, ab, ac, and bc, form a right triangle, where acb is a right angle.

For bac, opposite: a=bc, hypotenuse.

hypotenuse) c=ab and adjacent ruler digging b=ac, then there is the following relationship:

1. Sine function.

Abbreviation: sin

Value: a c language description: a is more anxied than the opposite edge.

2. Cosine function.

Abbreviation: COS

Value: b c language description: the adjacent edge of a is more hypotenuse than the hypotenuse.

3. Tangent function.

Abbreviation: tan

Value: a b Language Description: A is adjacent to the opposite edge.

4. Cotangent function.

Abbreviation: COT

Value: b a language description: a neighbor edge compared to the edge.

5. Secant function.

Abbreviation: SEC

Value: c b language description: the hypotenuse of a is adjacent to the edge.

6. Residual trap start and cut function.

Abbreviation: CSC

Value: c a language description: the hypotenuse of a is compared to the opposite edge.

sin30°=1 2, the trigonometric values of these special corners of the shed are to be remembered. Chain hidden.

If the bottom angle of the right-angled triangle is 30°, the opposite right-angled edge is half of the hypotenuse, sin 30°=

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The trigonometric function sin30 degrees is equal to the ratio of the opposite side to the hypotenuse of an angle of 30° in a right triangle without a ridge. The sine function y=sin is defined in the domain of all real numbers and the range is [-1,1].

Trigonometric FunctionsTrigonometric functions are generally used to calculate the edges and unknown angles of unknown seepage orange searches in triangles, and have a wide range of uses in navigation, engineering, and physics. In addition, using trigonometric functions as a template, a similar class of functions can be defined, called hyperbolic functions. The common hyperbolic function is also known as hyperbolic sine function, hyperbolic cosine function, and many more.

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The answer you're looking for: sin30 degrees equal pinned or one-half. It can be extended step by step, according to the definition of trigonometric function, sin x = opposite side hypotenuse, where x is the angle.

On a unit circle, the end coordinates of the vector with x as the angle are (cos x, sin x), which is called the unit circle definition of trigonometric functions. Therefore, sin 30 degrees is a Pythagorean triangle, and the hypotenuse length is 1, which corresponds to the opposite side length of the x angle of 30 degrees. If one of the right-angled sides of the Pythagorean triangle is 1 in length, then sin 30 degrees is the length of the opposite side, ie.

At the same time, cos 30 degrees is the length of the adjacent side, which is also equal to half the length of the hypotenuse of the Pythagorean triangle, i.e., cos 30 degrees is equal to.

sin is the ratio of the short side and hypotenuse of a right triangle, which can be clearly calculated in a triangle of 30, 60, and 90 degrees.

In this triangular shape, the hypotenuse is twice the length of the short side, i.e., sin30°=1 2

sin30°=1/，sin60°=√3/2，sin90°=1。

sin30°=1/2；sin30=

cos30=；cos30°=√3/2

tan30=；tan30°=√3/3

sin45=；sin45°=√2/2

cos45=；cos45°=sin45°=√2/2tan45=；tan45°=1

sin60=；sin60°=√3/2

cos60=；cos60°=1/2

tan60=；tan60°=√3

sin90=；sin90°=cos0°=1cos90=；cos90°=sin0°=0tan90=；tan90° does not exist.

Sine, in a right triangle, the ratio of the opposite side of any acute angle a to the hypotenuse is called the sine of a.

In general, in the Cartesian coordinate system, given a unit circle, for any angle, so that the vertex of the angle coincides with the origin, the beginning edge coincides with the non-negative semi-axis of the x-axis, and the terminal edge intersects with the unit circle at the point p(u, v), then the ordinate v of the point p is called the sinusoidal function of the angle of the angle of Nian Fiber, which is denoted as v=sin. Normally, we use x to represent the independent variable, i.e. x to represent the size of the angle, and y to represent the value of the function, so that we define the trigonometric function y=sin x for any angle, which is defined as all real numbers and the value range is [-1,1].