| Trigonometry formulas are equations that relate the various trigonometric ratios with each other. They are essential for solving a wide range of problems in mathematics, physics, engineering and other fields.
Some of the most important trigonometric formulas are:
Basic Definitions: These formulas define the trigonometric ratios (sine, cosine, tangent, etc.) in terms of the sides of a right triangle.
Pythagorean Theorem: This theorem relates the lengths of the sides in a right triangle.
Angle Relationships: These formulas relate the trigonometric ratios of different angles, such as sum and difference formulas, double angle formulas, and half angle formulas.
Reciprocal Identities: These formulas express one trigonometric ratio in terms of another, such as sin(θ) = 1/coc(θ).
Unit Circle: The unit circle is a graphical representation of the trigonometric ratios, and it can be used to derive many other formulas.
Law of Sines and Law of Cosines: These laws relate the sides and angles of any triangle, not just right triangles.
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