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Trigonometric identities
Trigonometric identities (Trig identities) or trigonometric formula describe the relationships between sine, cosine, tangent and cotangent and are used in solving mathematical problems.
The following are double angle formula, values of trigonometric functions, half angle formula, double angle identities, and other formulas. Additionally, the values of trigonometric functions for the most common angles are given.
Basic trigonometric identities
Double angle formula
Three angle formula
Formula
for reducing the degree
Formula
for reducing the degree
Formula
for reducing the degree
Half angle formula
The reduction formula of
the degree of the half argument
Addition formula
The subtraction formulas
Trigonometric formulas
involving Sum to Product Identities
Trigonometric formulas
involving difference to Product Identities
The sum conversion formulas
Trigonometry Formulas
involving Product identities
Formulas for transforming
a product of functions to a power
Formulas for reducing the degree
Universal trigonometric substitution
The values of trigonometric functions
| α | 0 | ||||||||||||||||
| α° | 0° | 30° | 45° | 60° | 90° | 120° | 135° | 150° | 180° | 210° | 225° | 240° | 270° | 300° | 315° | 330° | 360° |
| sin α | 0 | 1 | 0 | −1 | 0 | ||||||||||||
| cos α | 1 | 0 | −1 | 0 | 1 | ||||||||||||
| tg α | 0 | 1 | − | −1 | 0 | 1 | − | −1 | 0 | ||||||||
| ctg α | − | 1 | 0 | −1 | − | 1 | 0 | −1 | − |
Download trigonometric identities and formulas
You can download Trigonometric identities and formulas in the form of a picture:
