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Anonymous users2024-02-15The answer is 1 2
This is the examination induction formula.
The effect of the induction formula is to convert the trigonometric function of any angle into a trigonometric function of acute angles.
The general simplification process looks like this.
1) Use the formula Trigonometric values for angles with the same end edges.
Equality is a trigonometric function that converts the angle beyond the circumference (360°) into an angle in the range of 360°.
For example: 510° = 360° + 150°, that is, 510° is the same as the end edge of 150° so sin510° = sin150°
2) When transformed into a trigonometric function in the range of 0 360°, the transformation is carried out in quadrants.
If it is in the fourth quadrant (270° 360°), it is split into 360°-a, for example, sin300°=sin(360°-60°)=-sin60°
If it is the third quadrant (180° 270°), it is split into 180°+a, for example, cos210°=cos(180°+30°)=-cos30°
If it's the second quadrant.
90° 180°), for example, sin150° = sin(180°-30°) = sin30°
So the simplification process of this question is like this:
sin510° =sin（360°+150°）
sin150°
sin（180°-30°）
sin30°
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Anonymous users2024-02-14sin150 degrees equal to the letter of the pin in 1 2. sin150°
sin(180°-150°)
sin30°
product relationship:sin = tan cos (i.e. sin cos = tan ).
cos = cot sin (i.e. cos sin = cot).
tan = sin sec (i.e. tan sin = sec ).
The relationship between the frank and the number of relatives is the only one:tanα ×cotα =1。
sinα ×cscα =1。
cosα ×secα =1。
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Anonymous users2024-02-13sin15 degrees is equal to.
Calculation process: sin15°=(45°-30°) sin45°cos30°-cos45°sin30°=(6 root number 6-root number 2) 4.
Sine (sine), a mathematical term, in a right triangle.
, the opposite edge and hypotenuse of any acute angle a.
The ratio of is called the sine of a, which is denoted as sina (abbreviated from the English word sine), i.e. sina = the opposite side of a hypotenuse.
Three, the relationship between the positive angle of combustion and dissipationshorthand method
Hexagon. The six angles represent the six trigonometric functions, and there is the following relationship:
1) The diagonal multiplication product is 1, i.e., sin·csc = 1;Peel repentance cos ·sec =1;tanθ·cotθ=1。
2) A trigonometric function represented by three vertices arbitrarily adjacent to the hexagon, with the value of the function in the middle equal to the product of the values of the two functions adjacent to it.
3) The triangle of the shaded part, the sum of the squares of the two vertices above is equal to the square value of the vertices under the bridge key.
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Anonymous users2024-02-12sin105 degrees is equal to 2 4+ 6 4.
The calculation process is as follows:
According to the trigonometric function two angles and the formula.
sin105°=sin(60°+45°） sin60°*cos45°+sin45°*cos60°
Then the result is = 3 2* Skins 2 2 + 2 2 * 1 2 = 6 4 + 2 4.
Expand the sail exhibition information cavity shouting hail:1. The formula for trigonometric functions about the sum and difference of two angles in a trigonometric identity is:
2. In trigonometric functions, there are some special angles, such as °, and the trigonometric values of these angles are simple mononomials, and the specific values can be directly found in the calculation. The values of these functions are listed below
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Anonymous users2024-02-11sin105 degrees is equal to 2 4+ 6 4.
The calculation process is as follows:
According to the trigonometric function two angles and the formula.
sin105°=sin(60°+45°） sin60°*cos45°+sin45°*cos60° 。
Then the result is = 3 2* 2 2+ 2 2*1 2= 6 4+ 2 4.
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Anonymous users2024-02-10sin15 =
Calculation process: sin15°=(45°-30°) sin45°cos30°-cos45°sin30°=(6 root number 6-root number 2) 4
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Anonymous users2024-02-09sin150 degrees is equal to 1 2.
sin150°
sin(180°-150°)
sin30°
The relationship between the product: sin = tan cos (laughing Yu is the great god sin cos = tan ).
cos = cot sin (i.e. cos sin = cot).
tan = sin sec (i.e. tan sin = sec).
Reciprocal relation: tan cot = 1.
sinα ×cscα =1。
cosα ×secα =1。
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Anonymous users2024-02-086- 2) Feast as 4
sin15 degrees = sin(45 degrees-30 degrees)=sin45 degrees, cos30 degrees-cos45 degrees, sin30 degrees=( Huiran 6- 2) Qianxiangxu 4.
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