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10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    The value of \[{{\sin }^{2}}60{}^\circ \,.\,\,{{\cos }^{2}}30{}^\circ +\tan 45{}^\circ \,.\,\,\cos 60{}^\circ \,\sin 30{}^\circ \] is

    A) \[\frac{13}{16}\]

    B) \[5\]

    C) \[1\]

    D) \[-\frac{1}{2}\]

    Correct Answer: A

    Solution :

     \[{{\sin }^{2}}{{60}^{o}}\,{{\cos }^{2}}{{30}^{o}}+\tan {{45}^{o}}\cos {{60}^{o}}\sin {{30}^{o}}\] \[=\frac{3}{4}\times \frac{3}{4}+1\times \frac{1}{2}\times \frac{1}{2}\] \[=\frac{9}{16}+\frac{1}{4}=\frac{13}{16}\]


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