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

  • question_answer
    \[{{\sec }^{2}}M-1=\]

    A) tan M

    B) tan2M

    C) \[{{\tan }^{2}}M\]

    D) None of these

    Correct Answer: C

    Solution :

    \[{{\sec }^{2}}M-1={{\left( \frac{KM}{LM} \right)}^{2}}-1\]
    \[{{\sec }^{2}}M-1=\frac{36}{27}-1=\frac{36-27}{27}=\frac{9}{27}\]
    \[{{\sec }^{2}}M-1=\frac{1}{3}\]
    \[\tan M=\frac{1}{\sqrt{3}}\]
    \[{{\tan }^{2}}M=\frac{1}{3}\Rightarrow \,{{\sec }^{2}}M-1{{\tan }^{2}}M\]
     


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