$[1 - sin (3\pi - \alpha ) + cos (3\pi + \alpha )]$ $\left[ {1\,\, - \,\,\sin \,\left( {\frac{{3\,\pi }}{2}\,\, - \,\,\alpha } \right)\,\, + \,\,\cos \,\left( {\frac{{5\,\pi }}{2}\,\, - \,\,\alpha } \right)} \right]$ = 

  • A

    $sin \,2\alpha$

  • B

    $- sin\, 2\alpha$

  • C

    $1 - sin\, 2\alpha$

  • D

    $1 + sin\, 2\alpha$

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$\frac{1}{{\sin 10^\circ }} - \frac{{\sqrt 3 }}{{\cos 10^\circ }} =$

  • [IIT 1974]

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