JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of multiple and sub multiple angles

  • question_answer
    If \[\tan \frac{\theta }{2}=t,\]then \[\frac{1-{{t}^{2}}}{1+{{t}^{2}}}\]is equal to [Kerala (Engg.) 2002]

    A) \[\cos \theta \]

    B) \[\sin \theta \]

    C) \[\sec \theta \]

    D) \[\cos 2\theta \]

    Correct Answer: A

    Solution :

    \[\tan \frac{\theta }{2}=t\Rightarrow \frac{1-{{\tan }^{2}}\frac{\theta }{2}}{1+{{\tan }^{2}}\frac{\theta }{2}}=\cos \theta \].


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