10th Class Mathematics Introduction to Trigonometry Question Bank Introduction to Trigonometery

  • question_answer
    If \[2(\cos \theta +\sec \theta )=5\], what is the value of\[{{\cos }^{2}}\theta +{{\sec }^{2}}\theta \]?

    A)  \[\frac{25}{2}\]                               

    B)  \[\frac{5}{4}\]  

    C)  \[\frac{17}{4}\]               

    D)         \[\frac{4}{17}\]

    Correct Answer: C

    Solution :

     Given\[1441\times x=5040\times 12\] \[\Rightarrow \]\[x=\frac{5040\times 12}{144}=420\] \[219\times =657\]\[3\times =219\] \[\text{1}0\text{32 }=\text{ 4}0\text{8 }\times \text{ 2 }+\text{ 216}\]\[\text{4}0\text{8 }=\text{ 216 }\times \text{ 1 }+\text{ 192}\] \[\text{216 }=\text{ 192 }\times \text{ 1 }+\text{ 24}\]\[\text{192 }=\text{ 24 }\times \text{ 8 }+\text{ }0\]


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