MCQ'S

Geometry Level 2

Sine inverse 1 over x is equal to the given

sin(x) cosec (x) cosec inverse(x) cosec inverse (1 over x)

1 solution

Pi Han Goh
May 23, 2014

Let $\large y = \sin^{-1} \left ( \frac {1}{x} \right )$

$\large \Rightarrow \sin(y) = \frac {1}{x}$

$\large \Rightarrow x = \frac {1}{ \sin(y)} = \csc(y)$

$\large \Rightarrow y = \csc^{-1} (x)$

$\large \Rightarrow \sin^{-1} \left ( \frac {1}{x} \right ) = \boxed{ \csc^{-1} (x) }$