Question

Дайте определение синус и косинус, тангенс и катангенс!!! ​

Answer 1

Ответ:

Синус угла – это отношение противолежащего (дальнего) катета к гипотенузе. В нашем треугольнике \sin \beta =\frac{BC}{AC}. Косинус угла – это отношение прилежащего (близкого) катета к гипотенузе.

Тангенс острого угла в прямоугольном треугольнике – это отношение противолежащего катета к прилежащему. ... Котангенс острого угла в прямоугольном треугольнике – это отношение прилежащего катета к противолежащему. Там же вводятся обозначения синуса, косинуса, тангенса и котангенса – sin, cos, tg и ctg соответственно.

Answer 2

Sinus and Cosinus

The sinus and cosinus are mathematical functions that are commonly used in trigonometry to relate the angles of a right triangle to the lengths of its sides.

The sinus of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. It is denoted as sin(θ), where θ represents the angle. The sinus function returns a value between -1 and 1, inclusive.

The cosinus of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is denoted as cos(θ), where θ represents the angle. The cosinus function also returns a value between -1 and 1, inclusive.

Here are the definitions of sinus and cosinus in mathematical notation:

Sinus: sin(θ) = opposite/hypotenuse

Cosinus: cos(θ) = adjacent/hypotenuse

For example, if we have a right triangle with an angle of 30 degrees, the sinus of that angle would be equal to the length of the side opposite the angle divided by the length of the hypotenuse. The cosinus of that angle would be equal to the length of the adjacent side divided by the length of the hypotenuse.

Please note that the above definitions are specific to right triangles. The sinus and cosinus functions can also be extended to any angle in the unit circle using trigonometric identities.