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10th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-5

  • question_answer
    If \[tan\,A=1\] and \[tan\,B=\sqrt{3},\] 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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