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Find the value of $sin (a r c csc (x))$ $sin(arc csc(x))$ ?

1 Answer

Shwetank Mauria

Mar 25, 2017

$sin (a r c csc (x)) = \frac{1}{x}$ $sin(arc csc(x))=1/x$

Explanation:

Let $a r c csc (x) = a$ $arc csc(x)=a$

This means $csc a = x$ $csca=x$ and hence

$sin (a r c csc (x))$ $sin(arc csc(x))$

= $sin a$ $sina$

= $\frac{1}{csc a}$ $1/csca$

= $\frac{1}{x}$ $1/x$

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