If $\cos A = \frac{4}{5}$,then the value of $\tan A$ is

  • A
    $\frac{3}{4}$
  • B
    $\frac{3}{5}$
  • C
    $\frac{4}{3}$
  • D
    $\frac{5}{3}$

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Write 'True' or 'False' and justify your answer.
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If $\sec \theta = 1$,then $\theta = \ldots \ldots \ldots$ (in $^{\circ}$)

$\tan (65^\circ - \theta) - \cot (25^\circ + \theta) - \sec (55^\circ - \theta) + \operatorname{cosec}(35^\circ + \theta) = \ldots \ldots \ldots \ldots$ (where,$0 < \theta < 25^\circ$)

If $\sec 4A = \operatorname{cosec}(A - 20^\circ)$,where $4A$ is an acute angle,then the value of $A$ is $\ldots \ldots \ldots \ldots .$ (in $^\circ$)

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