Structuring a Coherent Argument
Q: What is the term for the overall logical flow and connection of ideas in an argument?
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Find common denominator: \(\frac{\cos \theta(1 + \sin \theta) - \cos \theta(1 - \sin \theta)}{(1 - \sin \theta)(1 + \sin \theta)} = \frac{\cos \theta + \cos \theta \sin \theta - \cos \theta + \cos \theta \sin \theta}{1 - \sin^2 \theta} = \frac{2\cos \theta \sin \theta}{\cos^2 \theta} = \frac{2\sin \theta}{\cos \theta} = 2\tan \theta\).
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