Inverse Trigonometric Function of Reciprocal
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Theorem
For all $x \in \R$ for which the expressions above are defined:
Arcsine of Reciprocal equals Arccosecant
- $\map \arcsin {\dfrac 1 x} = \arccsc x$
Arccosecant of Reciprocal equals Arcsine
- $\map \arccsc {\dfrac 1 x} = \arcsin x$
Arccosine of Reciprocal equals Arcsecant
- $\map \arccos {\dfrac 1 x} = \arcsec x$
Arcsecant of Reciprocal equals Arccosine
- $\map \arcsec {\dfrac 1 x} = \arccos x$
Arctangent of Reciprocal equals Arccotangent
- $\map \arctan {\dfrac 1 x} = \arccot x$
Arccotangent of Reciprocal equals Arctangent
- $\map \arccot {\dfrac 1 x} = \arctan x$