10th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-4

  • question_answer
    Which one of the following pairs is correctly matched? If then

    A)  \[x=\frac{1+\sin 60{}^\circ -\cos 60{}^\circ }{1+\sin 60{}^\circ +\cos 60{}^\circ }\,\,\,\,\,\,\,x=\tan 60{}^\circ \]

    B)  \[x=\frac{1+\sin 90{}^\circ -\cos 90{}^\circ }{1+\sin 90{}^\circ -\cos 90{}^\circ }\,\,\,\,\,\,\,x=\tan 30{}^\circ \]

    C)  \[x=\frac{2\tan 30{}^\circ }{1+{{\tan }^{2}}30{}^\circ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=\tan 60{}^\circ \]

    D)  \[x=\frac{1-{{\tan }^{2}}30{}^\circ }{1+{{\tan }^{2}}30{}^\circ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=\cos 60{}^\circ \]

    E)  None of these

    Correct Answer: D


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