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Trigonometric Function | Inverse Trigonometric Function |
---|---|
f(x)=sinx | f^(-1)(x)=sin^(-1)x |
f(x)=cosx | f^(-1)(x)=cos^(-1)x |
f(x)=tanx | f^(-1)(x)=tan^(-1)x |
Inverse Trigonometric Function | Domain | Range |
---|---|---|
y=sin^(-1)x | [-1,1] | -π/2 ≤ x ≤ π/2 |
y=cos^(-1)x | [-1,1] | 0≤ x ≤ π |
y=tan^(-1)x | All real numbers | -π/2 ≤ x ≤ π/2 |
Note that the inverse trigonometric functions sin^(- 1) x, cos^(- 1) x, tan^(- 1) x are also called arcsinx, arccosx, and arctanx, respectively. These can also be written as Arcsin x, Arccos x, and Arctan x, respectively.