What is Cosecant inverse of $x$ equal to?
By Emma Terry •
What is $\csc^{-1}x$ = equal to?
Could anyone tell me the answer to this question?
This question was given to me exactly the same way I have written it here, they didn't ask for anything else but the value.
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$\begingroup$$$\csc^{-1}(x)=\sin^{-1}\left(\frac{1}{x}\right)$$
$\endgroup$ 4 $\begingroup$To the power of negative one has two possible meanings (without context):
- reciprocal - i.e. $\csc^{-1}x = \sin x$
- inverse - i.e. $\csc^{-1}x = \operatorname{arccsc} x$
Assuming you have only recently starting doing $cosec$ I would say the first option is more likely what you were expected to give.
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