10th Class Mathematics Introduction to Trigonometry Question Bank Case Based MCQs - Introduction to Trigonometry

  • question_answer
    The value of \[{{\tan }^{2}}C+{{\tan }^{2}}A\].

    A) 0

    B) 1

    C) 2

    D) \[\frac{1}{2}\]

    Correct Answer: C

    Solution :

    \[{{\tan }^{2}}C+{{\tan }^{2}}A\]
                \[={{\left( \frac{BD}{CD} \right)}^{2}}+{{\left( \frac{BD}{AD} \right)}^{2}}\]
                \[={{\left( \frac{4}{4} \right)}^{2}}+{{\left( \frac{4}{4} \right)}^{2}}=1+1=2\]
     


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