vault backup: 2024-10-21 09:53:49
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@ -74,5 +74,6 @@ $$ a^2 - b^2 = (a-b)(a+b) $$
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Simplify $\tan\theta\sin\theta + \cos\theta$:
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Simplify $\tan\theta\sin\theta + \cos\theta$:
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1. $\dfrac{\sin\theta}{\cos\theta} * \sin\theta + \cos\theta$
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1. $\dfrac{\sin\theta}{\cos\theta} * \sin\theta + \cos\theta$
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2. $\dfrac{\sin^2\theta}{cos\theta} + \cos\theta$
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2. $\dfrac{\sin^2\theta}{cos\theta} + \cos\theta$
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3. $\dfrac{1 -\cos^2\theta}{cos\theta} + \cos\theta$
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3. $(\dfrac{\sin^2\theta}{cos\theta} + \cos\theta)\dfrac{\cos\theta}{\cos\theta} = \sin^2\theta*\cos^2\theta + \cos\theta$
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4.
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Simplify $\defrac{2 + tan^2}
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