Inverse Trigonometric Functions - Maple Programming Help

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Inverse Trigonometric Functions

Main Concept

There are a total of six inverse trigonometric functions: $\mathrm{arcsin}\left(x\right)$, $\mathrm{arccos}\left(x\right)$, $\mathrm{arctan}\left(x\right)$, $\mathrm{arccsc}\left(x\right)$, $\mathrm{arcsec}\left(x\right)$, and $\mathrm{arccot}\left(x\right)$.

Summary of the Inverse Trigonometric Function Properties

 Name Notation Domain Range Inverse Sine arcsin(x) or ${\mathrm{sin}}^{-1}\left(x\right)$ Inverse Cosine arccos(x) or ${\mathrm{cos}}^{-1}\left(x\right)$ $\left[0,\mathrm{π}\right]$ Inverse Tangent arctan(x) or ${\mathrm{tan}}^{-1}\left(x\right)$ Inverse Cosecant arccsc(x) or ${\mathrm{csc}}^{-1}\left(x\right)$ Inverse Secant arcsec(x) or ${\mathrm{sec}}^{-1}\left(x\right)$ Inverse Cotangent arccot(x) or ${\mathrm{cot}}^{-1}\left(x\right)$ $\left(0,\mathrm{\pi }\right)$

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