Definition: Trignometry Functions

Trigonometric functions relate angles in a triangle to side lengths. Main functions are sine, cosine, and tangent (sin, cos, tan), used to calculate ratios in right triangles: sine relates opposite to hypotenuse, cosine relates adjacent to hypotenuse, and tangent relates opposite to adjacent side.

Explanation:

The image displays the trigonometric functions: sinθ, cosθ, and tanθ, and their respective formulas.

Definition: Trigonometric Ratios

In a right-angled triangle, trigonometric ratios relate angles and sides. The primary ratios are sine (sin), cosine (cos), and tangent (tan).

Explanation:

Trigonometric ratios are mathematical relationships that exist between the angles and sides of a right-angled triangle.

These ratios express the connections between the lengths of specific sides and the measures of particular angles in the triangle.

Simply put, trigonometric ratios are a set of rules that relate the angles and sides of a right-angled triangle to each other.

Definition: Trigonometry Identities

Trigonometric identities are equations that involve trigonometric functions and are true for every value of the variables within their domains.
Some common trigonometric identities include:
1. Pythagorean identities
2. Reciprocal identities
3. Quotient identities
4. Co-function identities

Explanation:

In trigonometry, a right triangle contains a 90-degree angle. Its sides are designated based on their connection to this angle: the hypotenuse, opposite, and adjacent sides, each playing a distinct role.