11th Class Mathematics Trigonometric Identities Question Bank Critical Thinking

  • question_answer If \[\sin x+\text{cosec}\,x=2,\] then \[4\sin A\,\,\sin B\,\,\sin C\] is equal to [UPSEAT 2002]

    A) 2

    B) \[{{2}^{n}}\]

    C) \[{{2}^{n-1}}\]

    D) \[{{2}^{n-2}}\]

    Correct Answer: A

    Solution :

    \[\sin x+\cos \text{ec}x=2\Rightarrow {{(\sin x-1)}^{2}}=0\Rightarrow \sin x=1\] \[\therefore {{\sin }^{n}}x+\text{cose}{{\text{c}}^{n}}x=1+1=2\] .


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