JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of sum and difference of two and three angles

  • question_answer
    \[\frac{\cos 9{}^\circ +\sin 9{}^\circ }{\cos 9{}^\circ -\sin 9{}^\circ }=\] [EAMCET 1992; Kerala (Engg.) 2005]

    A) \[\tan 54{}^\circ \]

    B) \[\tan 36{}^\circ \]

    C) \[\tan 18{}^\circ \]

    D) None of these

    Correct Answer: A

    Solution :

    \[=\sin \theta .\sin \theta +\cos \theta .\cos \theta =1\]\[=\tan \,\left( {{45}^{o}}+{{9}^{o}} \right)=\tan {{54}^{o}}\].


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