10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer What is the value of \[\left( co{{s}^{2}}\text{ }67{}^\circ -si{{n}^{2}}23{}^\circ  \right)\]? 

    Answer:

    We have, \[co{{s}^{2}}67{}^\circ -si{{n}^{2}}23{}^\circ \]
    \[=co{{s}^{2}}67{}^\circ -co{{s}^{2}}\left( 90{}^\circ -23{}^\circ  \right)\]
                                  [\[\because \]\[sin\left( 90{}^\circ -\theta  \right)=cos\theta \]]
     \[=co{{s}^{2}}67{}^\circ -co{{s}^{2}}67{}^\circ \] \[=0\]


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