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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    If in a triangle ABC the sides \[AB\]and AC are perpendicular, then the true equation is

    A) \[\tan A+\tan B=0\]

    B) \[\tan B+\tan C=0\]

    C) \[\tan A+2\tan C=0\]

    D) \[\tan B.\tan C=1\]

    Correct Answer: D

    Solution :

    \[\tan A=\tan (\pi -B-C)\];  \[\infty =-\frac{\tan B+\tan C}{1-\tan B\tan C}\] \[\Rightarrow 1-\tan B\tan C=0\] Þ \[\tan B\tan C=1\].


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