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

  • question_answer
    \[\frac{\cos {{10}^{o}}+\sin {{10}^{o}}}{\cos {{10}^{o}}-\sin {{10}^{o}}}=\] [MP PET 2002]

    A) \[\tan \,{{55}^{o}}\]

    B) \[\cot {{55}^{o}}\]

    C) \[-\tan {{35}^{o}}\]

    D) \[-\cot {{35}^{o}}\]

    Correct Answer: A

    Solution :

      \[\frac{\cos {{10}^{o}}+\sin {{10}^{o}}}{\cos {{10}^{o}}-\sin {{10}^{o}}}\]\[=\tan ({{45}^{o}}+{{10}^{o}})=\tan {{55}^{o}}\].


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