CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    \[\frac{3-4\,{{\sin }^{2}}\theta }{{{\cos }^{2}}\theta }+{{\tan }^{2}}\theta \] is equal to

    A)  1

    B)  2

    C)  3                 

    D)  None of these

    Correct Answer: C

    Solution :

    Given, \[\frac{3-4\,{{\sin }^{2}}\theta }{{{\cos }^{2}}\theta }+{{\tan }^{2}}\theta \] \[=\frac{3}{{{\cos }^{2}}\theta }4\,{{\tan }^{2}}\theta +{{\tan }^{2}}\theta \] \[=3{{\sec }^{2}}\theta -3{{\tan }^{2}}\theta \] \[=3({{\sec }^{2}}\theta -{{\tan }^{2}}\theta )\] \[({{\sec }^{2}}\theta -{{\tan }^{2}}\theta =1)\] \[=3\times 1=3\]


You need to login to perform this action.
You will be redirected in 3 sec spinner