User:Markel Sabater/sandbox

Sine

Domain, codomain and image
Domain	(−∞,∞) ^a
Codomain	[−1,1] ^a
Basic features
Parity	odd
Period	2 $π$
Specific values
At zero	0
Maxima	((2k + ½) $π$ , 1) ^b
Minima	((2k − ½) $π$ , −1)
Specific features
Root	k $π$
Critical point	k $π$ − ⁠ $π$ /2⁠
Inflection point	k $π$
Fixed point	0
^a For real numbers. ^b Variable k is an integer.

Trigonometry

Outline History Usage Functions (sin, cos, tan, inverse) Generalized trigonometry
Reference
Identities Exact constants Tables Unit circle
Laws and theorems
Sines Cosines Tangents Cotangents Pythagorean theorem
Calculus
Trigonometric substitution Integrals (inverse functions) Derivatives Trigonometric series
Mathematicians
Hipparchus Ptolemy Brahmagupta al-Hasib al-Battani Regiomontanus Viète de Moivre Euler Fourier
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