UPSKILL MATH PLUS

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1. Given that \(sin \ \theta + 2 cos \ \theta = 1\), then prove that \(2 sin \ \theta - cos \ \theta = 2\).
 
2. If \(tan \ \theta + sec \ \theta = l\), then prove that \(sec \ \theta = \frac{l^2 + 1}{2l}\).
 
Important!
This is a creative exercise. Your teacher will check it manually.