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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

  • question_answer
    If \[\sin \theta =-\frac{1}{\sqrt{2}}\] and \[\tan \theta =1,\] then \[\theta \] lies in which quadrant

    A) First

    B) Second

    C) Third

    D) Fourth

    Correct Answer: C

    Solution :

    \[\sin \theta =-\frac{1}{\sqrt{2}}\]and \[\tan \theta =1\] \[\Rightarrow \]\[\sin \theta =\sin 225{}^\circ \Rightarrow \theta =225{}^\circ \] Since \[\sin \theta \]is \[-ve\]and \[\tan \theta \]is \[+ve\]in third quadrant.


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