Question

Simplify
${ \sqrt{1 - sin ^{2} }x } \div \sqrt{1 - cos ^{2} } x$
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Answer 1

Answer:

$\sqrt{1 - { \sin( \alpha ) }^{2} } = \sqrt{ { \cos( \alpha ) }^{2} } \\ \\ \\ \sqrt{1 - { \ \cos( \alpha ) }^{2} } = \sqrt{ { \sin( \alpha ) }^{2} } \\ \\ \\ \frac{ \cos( \alpha ) }{ \sin( \alpha ) } = \cot( \alpha )$

here is the solution for the given problem