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Question

Simplify: $${\sin ^{ - 1}}\left( {\cos x} \right)$$


Solution

  $$ {{\sin }^{-1}}\left( \cos x \right) $$

 $$ ={{\sin }^{-1}}\left( \sin \sqrt{1-{{x}^{2}}} \right) $$

 $$ =\sqrt{1-{{x}^{2}}}\,\,\,\,\,ans. $$

Hence, this is the answer 


Mathematics

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