10th Class Mathematics Introduction to Trigonometry Question Bank MCQs - Introduction to Trigonometry

  • question_answer
    If \[2\sin 2\theta =\sqrt{3},\]then \[\theta =\]

    A) \[30{}^\circ \]

    B) \[45{}^\circ \]

    C) \[60{}^\circ \]

    D) \[90{}^\circ \]

    Correct Answer: A

    Solution :

    [a] We have,  \[2\sin \,\,2\theta =\sqrt{3}\]
    \[\Rightarrow \,\,\,\,\sin 2\theta =\frac{\sqrt{3}}{2}\,\,\,\,\,\Rightarrow \,\,\,2\theta =60{}^\circ \]\[\left[ \sin 60{}^\circ =\frac{\sqrt{3}}{2} \right]\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\theta =\frac{60{}^\circ }{2}=30{}^\circ \]


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