Question

СРОЧНО напишите основное тригонометрическое тождество

Answer 1

Основное тригонометрическое тожедество: sin^2a + cos^2a = 1 (^2 это квадрат)

Answer 2

The Main Trigonometric Identity

The main trigonometric identity refers to the relationship between the sine, cosine, and tangent functions. The most commonly known trigonometric identity is the Pythagorean identity, which states that for any angle θ:

sin^2(θ) + cos^2(θ) = 1.

This identity is derived from the Pythagorean theorem, which relates the sides of a right triangle. In the context of trigonometry, the Pythagorean identity shows the relationship between the lengths of the sides and the angles of a right triangle.

The Pythagorean identity can also be rewritten in terms of the tangent function:

1 + tan^2(θ) = sec^2(θ),

where sec(θ) represents the secant function.

These trigonometric identities are fundamental in solving various trigonometric equations and problems. They are widely used in fields such as physics, engineering, and mathematics.

Please note that the search results did not provide a specific source for the main trigonometric identity. However, the Pythagorean identity and its relationship to the tangent function are well-established concepts in trigonometry.