csat-suneung 2025 Q6

csat-suneung · South-Korea · csat__math 3 marks Reciprocal Trig & Identities
When $\cos\left(\frac{\pi}{2} + \theta\right) = -\frac{1}{5}$, what is the value of $\frac{\sin\theta}{1 - \cos^{2}\theta}$? [3 points]
(1) $-5$
(2) $-\sqrt{5}$
(3) $0$
(4) $\sqrt{5}$
(5) $5$
When $\cos\left(\frac{\pi}{2} + \theta\right) = -\frac{1}{5}$, what is the value of $\frac{\sin\theta}{1 - \cos^{2}\theta}$? [3 points]\\
(1) $-5$\\
(2) $-\sqrt{5}$\\
(3) $0$\\
(4) $\sqrt{5}$\\
(5) $5$