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10th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-11

  • question_answer
    If tan A = 1 and \[\text{tan}\,\text{B}\,=\sqrt{3},\]find \[cos\,A\,cos\,B-\sin \,\,A\,\,\sin B\].

    A)  \[\frac{1+\sqrt{3}}{2}\]           

    B)  \[\frac{1-\sqrt{3}}{2\,\sqrt{2}}\]

    C)  \[\frac{\sqrt{3}}{2\,\sqrt{2}}\]               

    D)  \[\frac{2}{\sqrt{3}}\]

    E)  None of these

    Correct Answer: B

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