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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Mock Test - Trigonometric Functions

  • question_answer
    If \[\alpha =\frac{\pi }{14}\],then the value of (\[\tan \alpha \tan 2\alpha +\tan 2\alpha \tan 4\alpha +\tan 4\alpha \tan \alpha \])is

    A) 1                     

    B) 1/2

    C) 2                                 

    D) 1/3

    Correct Answer: A

    Solution :

    [a] \[\alpha +2\alpha +4\alpha =7\alpha =\frac{\pi }{2}\] \[\therefore \,\tan \alpha ,\tan 2\alpha \tan 2\alpha .\tan 4\alpha +\tan \alpha .\tan 4\alpha =1\]


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