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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Numerical Value Type Questions - Trigonometric Functions

  • question_answer
    If for any \[\theta \in \left( \frac{\pi }{4},\frac{\pi }{2} \right)\] the expression \[3{{(\sin \theta -\cos \theta )}^{4}}+6{{(\sin \theta +\cos \theta )}^{2}}+4{{\sin }^{6}}\theta \] is equal to \[a-b\,\,{{\cos }^{6}}\theta ,\] then the value of \[\frac{a}{b}\] is

    Answer:

    3.25


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