$\tan \alpha + 2 \tan 2 \alpha + 4 \tan 4 \alpha + 8 \cot 8 \alpha = $

  • A
    $\tan 16 \alpha$
  • B
    $0$
  • C
    $\cot \alpha$
  • D
    $\tan \alpha$

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$(1+\sec 2\theta)(1+\sec 4\theta) = $

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$\tan 20^\circ \tan 40^\circ \tan 60^\circ \tan 80^\circ = $

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