CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    If\[\tan \left( \frac{\theta }{2} \right)=t,\]then\[\left( \frac{1-{{t}^{2}}}{1+{{t}^{2}}} \right)\]is equal to:

    A)  \[\cos \theta \]                               

    B)         \[\sin \theta \]

    C)         \[\sec \theta \]                               

    D)         \[\cos \theta \]

    E)         \[\tan \theta \]

    Correct Answer: A

    Solution :

    \[\therefore \] \[\frac{1-{{t}^{2}}}{1+{{t}^{2}}}=\frac{1-{{\tan }^{2}}(\theta /2)}{1+{{\tan }^{2}}(\theta /2)}\] \[\left[ \because t=\tan \frac{\theta }{2}given \right]\] \[=\cos \theta \]


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