Show that $$\(\frac{\sin \theta}{1-\sin \theta}-\frac{\sin \theta}{1+\sin \theta} \equiv 2 \tan ^{2} \theta\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_w20_qp_11 Year：2020 Question No：7(a)
Answer:
\(\left(\frac{\sin \theta}{1-\sin \theta}-\frac{\sin \theta}{1+\sin \theta}=\right) \frac{\sin \theta(1+\sin \theta)-\sin \theta(1-\sin \theta)}{1-\sin ^{2} \theta}\)
\(\frac{2 \sin ^{2} \theta}{\cos ^{2} \theta}\)
\(2 \tan ^{2} \theta\)
\(\frac{2 \sin ^{2} \theta}{\cos ^{2} \theta}\)
\(2 \tan ^{2} \theta\)
Knowledge points:
1.5.4 use the identities
Solution:
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