Question

Sin cos tg ctg... Как понять, какой из них использовать?

Answer 1

Синус в прямоугольном треугольнике - это отношение : противолежащего катета к гипотенузе. Косинус - отношение прилежащего катета в гипотенузе ( ассоциация : косинус - касается). Тангенс - отношение прилежащего катета в противолежащему. Котангенс - это перевёрнутый тангенс. Следовательно - противолежащий катет в прилежащему. Использовать можно как и синус , так и косинус и т д. Это не столь важно. Но соотношения , написанные выше - запомни, очень помогут)

Answer 2

Understanding Trigonometric Functions

When it comes to understanding which trigonometric function to use (sin, cos, tan, or cot), it's important to consider the context in which they are being applied. Each trigonometric function has its own specific use and application.

Sine (sin): The sine function is commonly used to relate the angles of a right-angled triangle to the lengths of its sides. It is defined as the ratio of the length of the side opposite the given angle to the length of the hypotenuse.

Cosine (cos): The cosine function is also used in the context of right-angled triangles. It represents the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent (tan): The tangent function is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right-angled triangle.

Cotangent (cot): The cotangent function is the reciprocal of the tangent function. It is the ratio of the length of the adjacent side to the length of the opposite side in a right-angled triangle.

In practical terms, the choice of which trigonometric function to use depends on the specific problem or application at hand. For example, if you are dealing with the relationship between angles and side lengths in a right-angled triangle, you would use sine, cosine, or tangent based on the specific context of the problem.

It's important to understand the fundamental definitions and properties of these trigonometric functions to effectively apply them in various mathematical and scientific contexts.