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  4. . The value of cos -1 ( cos 12)- sin -1 ( sin 14) is

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Q. . The value of $ {{\cos }^{-1}}\,(\cos \,12)-{{\sin }^{-1}}\,(\sin 14) $ is

J & K CETJ & K CET 2005

Solution:

Given, $ {{\cos }^{-1}}(\cos 12)-{{\sin }^{-1}}(\sin 14) $
$ =12-14=-2 $