If $5 \tan \theta = 4$,then $\frac{5 \sin \theta - 3 \cos \theta}{5 \sin \theta + 2 \cos \theta} = $

  • A
    $0$
  • B
    $1$
  • C
    $1/6$
  • D
    $6$

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Find the value of $\operatorname{cosec} 750^{\circ} - 2 \cot 765^{\circ}$.

Which of the following trigonometric values are negative?
$I. \sin(-292^{\circ})$
$II. \tan(-190^{\circ})$
$III. \cos(-207^{\circ})$
$IV. \cot(-222^{\circ})$

If $\tan \theta = 2$ and $\theta$ lies in the third quadrant,then the value of $\sec \theta$ is

$\tan x + \frac{\cos x}{1 + \sin x} = $

Which of the following is not correct?

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