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

  • question_answer
    Given that \[\sin \alpha =\frac{1}{2}\]and \[\cos \beta =\frac{1}{2},\]then the vale of \[(\alpha +\beta )\]is:

    A) \[0{}^\circ \]

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

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

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

    Correct Answer: D

    Solution :

    [d] Given, \[\sin \alpha =\frac{1}{2}\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\alpha =30{}^\circ \]  \[\left[ \sin 30{}^\circ =\frac{1}{2} \right]\]
    and \[\cos \beta =\frac{1}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\beta =60{}^\circ \]  \[\left[ \cos 60{}^\circ =\frac{1}{2} \right]\]
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\alpha +\beta =30{}^\circ +60{}^\circ =90{}^\circ \]


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