If $\sec \theta + \tan \theta = p$, then what is the value of $\sin \theta$?
Options:
- A: $\frac{p^2 - 1}{p^2 + 1}$
- B: $\frac{p^2 + 1}{p^2 - 1}$
- C: $\frac{2p}{p^2 + 1}$
- D: $\frac{2p}{p^2 - 1}$
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- The study of living organism :
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