Question

If $\sin \theta =\frac{7}{25}$ and $\theta$ lies in the second quadrant, find the value of $\sec \theta +\tan \theta$

• A. $-\frac{4}{3}$
• B. $-\frac{3}{4}$
• C. $-\frac{2}{3}$
• D. $-\frac{1}{3}$

Answer 1

The correct option is A $-\frac{4}{3}$

$\because \sin \theta =\frac{7}{25}$ and $\theta$ lies in the second quadrant
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$\therefore \sec \theta +\tan \theta =-\frac{25}{24}-\frac{7}{24}$
$=-\frac{32}{24}=-\frac{4}{3}$