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

  • question_answer
    Find sec A.

    A) 1

    B) 2

    C) \[\frac{4}{3}\]

    D) \[\frac{5}{3}\]

    Correct Answer: B

    Solution :

    \[\sec A=\frac{AP}{AQ}=\frac{\sqrt{A{{Q}^{2}}+P{{Q}^{2}}}}{AQ}\]
                \[=\frac{\sqrt{{{\left( 1.5 \right)}^{2}}+{{\left( 2.5 \right)}^{2}}}}{1.5}\]
    \[\sec A=\frac{\sqrt{2.25+6.25}}{1.5}=\frac{\sqrt{8.5}}{1.5}=\frac{3}{1.5}\] (approx)
    \[\sec A=\frac{3}{15}\times 10=2\]
     


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