( cose c ^ - 1 x) is equal to - Vidyadip

MCQ

$\sec ({\rm{cose}}{{\rm{c}}^{ - 1}}x)$ is equal to

✓
${\rm{cosec}}({\sec ^{ - 1}}x)$
B
$\cot x$
C
$\pi $
D
None of these

✓

Answer

Correct option: A.

${\rm{cosec}}({\sec ^{ - 1}}x)$

a
(a) We know that $sec(cosec-1x) = cosec(sec-1 x)$

$ = \frac{{|x|}}{{\sqrt {{x^2} - 1} }}$, for $|x|\, > \,1$.

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