Can someone me with 1 to 6, ? with explanation

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sierravick123owr441

02.02.2020

Mathematics

$\large\boxed{\sec\theta}$

Step-by-step explanation:

$\dfrac{\sin\theta\sec\theta}{\cos\theta\tan\theta}\\\\\text{We know}\ \tan\theta=\dfrac{\sin\theta}{\cos\theta}.\ \text{Substitute:}\\\\=\dfrac{\sin\theta\sec\theta}{\cos\theta\cdot\frac{\sin\theta}{\cos\theta}}=\dfrac{\sin\theta\sec\theta}{\cos\theta}\cdot\dfrac{\cos\theta}{\sin\theta}\\\\\text{Cancel}\ \cos\theta\ \text{and}\ \sin\theta\\\\=\sec\theta$

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