2. Sample Papers
  3. Railways

Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-24

  • question_answer
      If\[(\tan \theta +\cot \theta )=5,\]then\[({{\tan }^{2}}\theta +{{\cot }^{2}}\theta )\]is equal to

    A)  25                   

    B)  27  

    C)  23                   

    D)  24

    Correct Answer: C

    Solution :

    \[{{\left( \tan \theta +\cot \theta  \right)}^{2}}={{5}^{2}}=25\] \[\Rightarrow \,\]\[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2\tan \theta .\cot \theta =25\] \[\Rightarrow \,\] \[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta +2=25\] \[\Rightarrow \,\]\[{{\tan }^{2}}\theta +{{\cot }^{2}}\theta =\left( 25-2 \right)=23\]


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