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Описание: Trigonometric functions are the mathematical tools used to connect the angles of a triangle with the lengths of its sides. While there are six main functions, they are all derived from the same three sides: the Perpendicular (P), the Base (B), and the Hypotenuse (H).
​1. The Primary Functions
​These are the three fundamental ratios you will use most often.

Function Abbreviation Ratio Formula Memory Trick (SOH-CAH-TOA)
Sine \sin \theta \frac{\text{Perpendicular}}{\text{Hypotenuse}} Sine = Opposite / Hypotenuse
Cosine \cos \theta \frac{\text{Base}}{\text{Hypotenuse}} Cosine = Adjacent / Hypotenuse
Tangent \tan \theta \frac{\text{Perpendicular}}{\text{Base}} Tangent = Opposite / Adjacent
Note: "Opposite" is another word for Perpendicular, and "Adjacent" is another word for Base.
​2. The Reciprocal Functions
​Each primary function has a "partner" function that is simply its flipped (reciprocal) version.
Important Relationships
​Beyond the basic ratios, these functions interact in specific ways that are vital for solving higher-level problems:
​The Quotient Identity
​Tangent can also be found by dividing Sine by Cosine:
Helpful Mnemonics
​If "SOH CAH TOA" doesn't stick, many students use this sentence to remember the ratios for Sine, Cosine, and Tangent (in that order):
​"Some People Have, Curly Brown Hair, Turn Permanently Black."
(Sin = P/H, Cos = B/H, Tan = P/B)
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