Functiones trigonometricae inversae

Functiones arcus sinus et arcus cosinus

Functiones trigonometricae inversae sunt functiones inversae functionum trigonometricarum, quibus angulus ex rationibus trigonometricis anguli computantur. praefixo arc aut numero superiori ⁻¹ notantur. Secunda autem notatio potest ad ambiguitatem ducere, quia sin⁻¹, exempli gratia, intellegi potest ut ${\frac {1}{\sin A}}$, hoc est csc A (cosecans).

Nomen	Notatio	Definitio	Dominium definitionis x ad resultatum realem obtinendam	Imago valorium principalium usitatorum (radian)	Imago valorium principalium usitatorum (gradus)
arcus sinus	y = arcsin x	x = sin y	−1 ≤ x ≤ 1	−π/2 ≤ y ≤ π/2	−90° ≤ y ≤ 90°
arcus cosinus	y = arccos x	x = cos y	−1 ≤ x ≤ 1	0 ≤ y ≤ π	0° ≤ y ≤ 180°
arcus tangens	y = arctan x	x = tan y	omnes numeri reales	−π/2 < y < π/2	−90° < y < 90°
arcus cotangens	y = arccot x	x = cot y	omnes numeri reales	0 < y < π	0° < y < 180°
arcus secans	y = arcsec x	x = sec y	x ≤ −1 or 1 ≤ x	0 ≤ y < π/2 or π/2 < y ≤ π	0° ≤ y < 90° or 90° < y ≤ 180°
arcus cosecans	y = arccsc x	x = csc y	x ≤ −1 or 1 ≤ x	−π/2 ≤ y < 0 or 0 < y ≤ π/2	-90° ≤ y < 0° or 0° < y ≤ 90°

Nexus externi

• "Inverse Trigonometric Functions" in lexico Wolfram Mathworld.