everything is simple: divide the root of two into 2. Sinus 45 degrees equal in value to the mowing 45 degrees.
data can be found in the trigonometric table.
These angles are tabular values and it seems to me that every student is obliged to know them.
The values of all trigonometric functions – sinus, cosine, tangence and cotangenes, are reduced to all frequently found angles in trigonometry tables, this is not difficult to calculate.
The formula of equality of the sinus of 45 degrees looks as follows.
For most schoolchildren, the theme of sinus and cosine is difficult and not beloved. Torment sinus 45 degrees equal to 0.707. You can calculate the engineering calculator, as in the figure below, or according to the formula given that the angle of 45 degrees in the radians is equal to the 45⁰ = (√2)/2.
Sinus 45 degrees respectively equal to the cosine of the same 45 degrees, that is, a square root of 3 divided by 2. Well, or as they wrote above, approximately equal 0.7 – 0.71. Depends on the accuracy of the calculation you need in your case.
The sinus is the ratio of an anti -ideal cab in a rectangular triangle to its hypotenuse. In trigonometry, the sinus of the angle of 45⁰ (or p/4) is √2/2, which in the numerical terms, rounded to thousandths, will be 0.707.
The sinus is 1.4/2
He is SQRT (2)/2
He is 0.707
The value of the sinus of 45 degrees is equal to √2/2 or approximately 0.70710678118 (rounded to 11 signs after aim.
This value can be found on many calculators or in tables of trigonometric functions. The sinus of 45 degrees can also be expressed through a geometric interpretation: it is equal to the ratio of the opposite leg to the hypotenuse in a rectangular triangle, in which the angle between the hypotenuse and the anti -icing legs is 45 degrees, and all its sides are equal.
If you are facing the question – indicate how much the sinus of forty -five degrees is equal, then you can use the table of trigonometric functions.
According to the table, it is known that the sinus of forty -five degrees is (n/4) = (√2)/2.
What does the exact value of all trigonometric functions of forty -five degrees look like:
The answer to this question can be easily found in trigonometric tables, widely known to us since school times. In this case, the sin 45⁰ will be equal to COS 45⁰, that is, a square root of 2 divided into 2 = (√2)/2. The exact value can be recognized by considering on the engineering calculator:
To solve various kinds of tasks in mathematics, and especially in geometry, it is necessary to use the values of such a value as the sinus of any angle. Let’s look at the sinus for 45 degrees. First of all, I want to note that it is equated with the mowing of the same angle and he is equal:
Previously, when she studied at school, she knew all these functions by heart, and now everything was forgotten, but on the Internet you can find such information in a matter of minutes, and not what before, it was necessary to look for reference books.
During the time I studied at school and at the university, I realized that the most visual examples are those in which there is visualization. Visibility in turn in mathematics increases when there are graphic images and on them, display, numerical indicators.
The sinus is a direct trigonometric function and the letter is indicated by sin.
In a rectangular triangle, the sinus is numerically equal.
Value sin 45⁰ = (π/4) = (√2)/2.