If $\theta$ is an acute angle and $\tan \theta + \cot \theta = 2$,then the value of $\tan^{5} \theta + \cot^{5} \theta$ is

  • A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $4$

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Number of values of $x \in [0, 2\pi]$ satisfying the equation $\cot x - \cos x = 1 - \cot x \cos x$.

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