What are the special values commonly used in high school math, and what are the special values that

Updated on educate 2024-02-11
5 answers
  1. Anonymous users2024-02-06

    These are some special functions to, you can take a look at it, and you will remember them all when you are familiar with them.

    1) Special angular trigonometric values.

    sin0=0

    sin30=

    sin45 = 2 of the root of the half

    sin60 = Root of the second half number 3

    sin90=1

    cos0=1

    cos30 = Root number 3 of the halfs

    cos45= 2 of the root of the half

    cos60=

    cos90=0

    tan0=0

    tan30 = 3 thirds of the root number

    tan45=1

    tan60= root number 3

    tan90=None.

    cot0 = none.

    cot30 = root number 3

    cot45=1

    cot60 = 3 of the root of thirds

    cot90=0

    2) Trigonometric values of any angle of 0° 90°, check the trigonometric function table. (see below).

    3) Acute trigonometric functions.

    How the value has changed.

    i) Acute trigonometric values are all positive.

    ii) the sine value when the angle varies between 0° and 90°.

    Increases (or decreases) as the angle increases

    Cosine. The value decreases (or increases) as the angle increases (or decreases).

    Tangent. Increases (or decreases) as the angle increases

    The cotangent value decreases (or increases) as the angle increases (or decreases).

    iii) 0 sin 1, 1 cos 0 when the angle varies between 0° 90°, tan > 0, cot > 0 when the angle varies between 0° < 90°

    "Acute trigonometry" belongs to trigonometry, which is an important part of the field of "space and graphics" in the Mathematics Curriculum Standards. According to the "Mathematics Curriculum Standards", secondary school mathematics divides the content of trigonometry into two parts, the first part of which is placed in compulsory education.

    The third and second parts are placed at the high school level. In the third period of compulsory education, the main study is acute trigonometric functions and the solution of right triangles.

    This set of textbooks arranges the content of a chapter, which is the chapter "Acute Trigonometric Functions". In high school, trigonometry is the main part of trigonometry, including solving oblique triangles, trigonometric functions, and inverse trigonometric functions.

    and simple trigonometric equations. Whether it is from the point of view of content, or from the point of view of the way of thinking about the problem, the former part is an important foundation for the latter part, and mastering the concept of acute trigonometric functions and the method of solving right triangles is an important preparation for learning trigonometric functions and solving oblique triangles.

    Attached: Trigonometric function value table.

    sin0=0,sin15=(√6-√2)/4 ,sin30=1/2,sin45=√2/2,sin60=√3/2,sin75=(√6+√2)/2 ,sin90=1,sin105=√2/2*(√3/2+1/2)

    sin120=√3/2

    sin135=√2/2

    sin150=1/2

    sin165=(√6-√2)/4

    sin180=0

    sin270=-1

    sin360=0

    By the way, you're looking at it after reading it.

  2. Anonymous users2024-02-05

    This student, I think this method may not be very good for memory, and the effect is relatively not good. In fact, you only need to draw a figure on scratch paper, and then deduce the answer yourself and proofread it with the basic formula of the trigonometric function theorem, you may get more gains, and this method will help your memory and improve your problem-solving skills and methods. And not quickly forgotten.

    In fact, you only need to do more questions and then comprehend them, so that you can really transform them into your own knowledge and problem-solving ability!

    Good luck with your studies!

  3. Anonymous users2024-02-04

    Trigonometric functions: remember 30 degrees, 60 degrees, 45 degrees, 90 degrees, and the conversion between sine and cosine is about the same, and the other is to remember the derivative, (sina).'=cosa (cosa)'=-sina ( x^n)'=nx (n-1)(lnx)'=1 x etc., I hope it can help you.

  4. Anonymous users2024-02-03

    The special values to remember in high school math are as follows:

    1. It belongs to the symbol, which represents a subordinate relationship between the element and the set.

    2. Finding the product symbol.

    3. Summation symbol.

    4. It is equivalent to a division sign.

    5. The arithmetic square root, if the square of 2 is 4, then the arithmetic square root of 4 is 2.

    6. Proportional to, common in physics, such as a b indicates that when a increases, b also increases.

  5. Anonymous users2024-02-02

    This can be understood as (1-1 10) n=This is less than =, that is, how many multiplicative ratios are smaller, and can also be reduced to the equation n=log(,n=7

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