If $\sec \theta = \frac{5}{3}$,then $\tan \theta = \ldots$

  • A
    $1$
  • B
    $\frac{3}{5}$
  • C
    $\frac{4}{3}$
  • D
    $\frac{3}{4}$

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Similar Questions

The value of the expression $\left[\operatorname{cosec}(75^{\circ}+\theta)-\sec(15^{\circ}-\theta)-\tan(55^{\circ}+\theta)+\cot(35^{\circ}-\theta)\right]$ is

If $1+\sin ^{2} \theta=3 \sin \theta \cos \theta,$ then prove that $\tan \theta=1$ or $\frac{1}{2}$.

Difficult
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Prove that,
$1 + \frac{\cot^{2} \alpha}{1 + \operatorname{cosec} \alpha} = \operatorname{cosec} \alpha$

$\cot \theta \cdot \tan \theta = \dots$

Write 'True' or 'False' and justify your answer.
$\frac{\tan 47^{\circ}}{\cot 43^{\circ}}=1$

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