If \( U_{n}=\sin n \theta \sec ^{n} \theta, V_{n}=\cos n \theta \sec ^{n} \theta \neq 1 \), then...
If \( U_{n}=\sin n \theta \sec ^{n} \theta, V_{n}=\cos n \theta \sec ^{n} \theta \neq 1 \), then \( \frac{V_{n}-V_{n-1}}{U_{n-1}}+\frac{1}{n} \frac{U_{n}}{V_{n}} \) is equal to
(a) 0
(b) \( \tan \theta \)
(c) \( -\tan \theta+\frac{\tan n \theta}{n} \)
(d) \( \tan \theta+\frac{\tan n \theta}{n} \)
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