Question

If $\sin\theta = \frac{24}{25}$and $\theta$ lies in the second quadrant, then $\sec\theta + \tan\theta =$

• A. – 3
• B. – 5
• C. – 7
• D. – 9

Answer 1

Answer: (C)

– 7

Answer 2

$\sin\theta = \frac{24}{25} \Rightarrow \cos\theta = \frac{- 7}{25},\tan\theta = \frac{- 24}{7}$

$\therefore$ $\sec\theta + \tan\theta = \frac{- 25}{7} + \frac{- 24}{7} = - 7$